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975000048 = 2431117195717
BaseRepresentation
bin111010000111010…
…101000111110000
32111221122010121220
4322013111013300
53444100000143
6240425345040
733106235511
oct7207250760
92457563556
10975000048
114603a8a70
12232638180
13126cc6009
14936c0a08
155a8e3d83
hex3a1d51f0

975000048 has 160 divisors (see below), whose sum is σ = 3063018240. Its totient is φ = 263393280.

The previous prime is 975000041. The next prime is 975000053. The reversal of 975000048 is 840000579.

975000048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 974999982 and 975000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167686 + ... + 173402.

It is an arithmetic number, because the mean of its divisors is an integer number (19143864).

Almost surely, 2975000048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531509120).

975000048 is an abundant number, since it is smaller than the sum of its proper divisors (2088018192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

975000048 is a wasteful number, since it uses less digits than its factorization.

975000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 975000048 is about 31224.9907606071. The cubic root of 975000048 is about 991.5962576127.

It can be divided in two parts, 9 and 75000048, that added together give a palindrome (75000057).

The spelling of 975000048 in words is "nine hundred seventy-five million, forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 33 34 38 44 48 51 57 66 68 76 88 102 114 132 136 152 176 187 204 209 228 264 272 304 323 374 408 418 456 528 561 627 646 748 816 836 912 969 1122 1254 1292 1496 1672 1938 2244 2508 2584 2992 3344 3553 3876 4488 5016 5168 5717 7106 7752 8976 10032 10659 11434 14212 15504 17151 21318 22868 28424 34302 42636 45736 56848 62887 68604 85272 91472 97189 108623 125774 137208 170544 188661 194378 217246 251548 274416 291567 325869 377322 388756 434492 503096 583134 651738 754644 777512 868984 1006192 1069079 1166268 1194853 1303476 1509288 1555024 1737968 1846591 2138158 2332536 2389706 2606952 3018576 3207237 3584559 3693182 4276316 4665072 4779412 5213904 5539773 6414474 7169118 7386364 8552632 9558824 11079546 12828948 14338236 14772728 17105264 19117648 20312501 22159092 25657896 28676472 29545456 40625002 44318184 51315792 57352944 60937503 81250004 88636368 121875006 162500008 243750012 325000016 487500024 975000048