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5076479280 = 2435192774019
BaseRepresentation
bin1001011101001010…
…01110110100110000
3111002210021212102010
410232211032310300
540344034314110
62155422322520
7236541235065
oct45645166460
914083255363
105076479280
1121755a4024
12b98129440
1362b9585c2
143622ccc6c
151eaa12020
hex12e94ed30

5076479280 has 160 divisors (see below), whose sum is σ = 16629292800. Its totient is φ = 1277531136.

The previous prime is 5076479279. The next prime is 5076479281. The reversal of 5076479280 is 829746705.

It is an interprime number because it is at equal distance from previous prime (5076479279) and next prime (5076479281).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5076479281) 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, 1261111 + ... + 1265129.

It is an arithmetic number, because the mean of its divisors is an integer number (103933080).

Almost surely, 25076479280 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 5076479280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314646400).

5076479280 is an abundant number, since it is smaller than the sum of its proper divisors (11552813520).

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

5076479280 is a wasteful number, since it uses less digits than its factorization.

5076479280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 5076479280 is about 71249.4159976066. The cubic root of 5076479280 is about 1718.6503835069.

The spelling of 5076479280 in words is "five billion, seventy-six million, four hundred seventy-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 277 285 304 380 456 554 570 760 831 912 1108 1140 1385 1520 1662 2216 2280 2770 3324 4019 4155 4432 4560 5263 5540 6648 8038 8310 10526 11080 12057 13296 15789 16076 16620 20095 21052 22160 24114 26315 31578 32152 33240 40190 42104 48228 52630 60285 63156 64304 66480 76361 78945 80380 84208 96456 105260 120570 126312 152722 157890 160760 192912 210520 229083 241140 252624 305444 315780 321520 381805 421040 458166 482280 610888 631560 763610 916332 964560 1113263 1145415 1221776 1263120 1527220 1832664 2226526 2290830 3054440 3339789 3665328 4453052 4581660 5566315 6108880 6679578 8906104 9163320 11132630 13359156 16698945 17812208 18326640 21151997 22265260 26718312 33397890 42303994 44530520 53436624 63455991 66795780 84607988 89061040 105759985 126911982 133591560 169215976 211519970 253823964 267183120 317279955 338431952 423039940 507647928 634559910 846079880 1015295856 1269119820 1692159760 2538239640 5076479280