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3041687952 = 2432131383421
BaseRepresentation
bin1011010101001100…
…0111100110010000
321211222110202110100
42311103013212100
522212133003302
61221453532400
7135242630622
oct26523074620
97758422410
103041687952
111320a541a6
1270a7a4100
1339621c474
1420bd78c12
1512c07ad1c
hexb54c7990

3041687952 has 120 divisors (see below), whose sum is σ = 8620305408. Its totient is φ = 1001145600.

The previous prime is 3041687911. The next prime is 3041687959. The reversal of 3041687952 is 2597861403.

3041687952 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

3041687952 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 3041687898 and 3041687907.

It is not an unprimeable number, because it can be changed into a prime (3041687959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7224702 + ... + 7225122.

It is a 1-persistent number, because it is pandigital, but 2⋅3041687952 = 6083375904 is not.

Almost surely, 23041687952 is an apocalyptic number.

It is a pronic number, being equal to 55151×55152.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3041687952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310152704).

3041687952 is an abundant number, since it is smaller than the sum of its proper divisors (5578617456).

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

3041687952 is a wasteful number, since it uses less digits than its factorization.

3041687952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3041687952 is about 55151.4999977335. The cubic root of 3041687952 is about 1448.8993553170.

The spelling of 3041687952 in words is "three billion, forty-one million, six hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 383 393 421 524 766 786 842 1048 1149 1179 1263 1532 1572 1684 2096 2298 2358 2526 3064 3144 3368 3447 3789 4596 4716 5052 6128 6288 6736 6894 7578 9192 9432 10104 13788 15156 18384 18864 20208 27576 30312 50173 55151 55152 60624 100346 110302 150519 161243 165453 200692 220604 301038 322486 330906 401384 441208 451557 483729 496359 602076 644972 661812 802768 882416 903114 967458 992718 1204152 1289944 1323624 1451187 1806228 1934916 1985436 2408304 2579888 2647248 2902374 3612456 3869832 3970872 5804748 7224912 7739664 7941744 11609496 21122833 23218992 42245666 63368499 84491332 126736998 168982664 190105497 253473996 337965328 380210994 506947992 760421988 1013895984 1520843976 3041687952