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996888432 = 243174183359
BaseRepresentation
bin111011011010110…
…100111101110000
32120110211011211210
4323122310331300
54020200412212
6242530440120
733463261161
oct7332647560
92513734753
10996888432
11471799041
12239a33040
1312b6bab17
149657b768
155c7b953c
hex3b6b4f70

996888432 has 160 divisors (see below), whose sum is σ = 2834818560. Its totient is φ = 300605440.

The previous prime is 996888407. The next prime is 996888443. The reversal of 996888432 is 234888699.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2776669 + ... + 2777027.

It is an arithmetic number, because the mean of its divisors is an integer number (17717616).

Almost surely, 2996888432 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 996888432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

996888432 is an abundant number, since it is smaller than the sum of its proper divisors (1837930128).

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

996888432 is a wasteful number, since it uses less digits than its factorization.

996888432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The square root of 996888432 is about 31573.5400612602. The cubic root of 996888432 is about 998.9617330415.

The spelling of 996888432 in words is "nine hundred ninety-six million, eight hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 83 102 123 136 164 166 204 246 249 272 328 332 359 408 492 498 656 664 697 718 816 984 996 1077 1328 1394 1411 1436 1968 1992 2091 2154 2788 2822 2872 3403 3984 4182 4233 4308 5576 5644 5744 6103 6806 8364 8466 8616 10209 11152 11288 12206 13612 14719 16728 16932 17232 18309 20418 22576 24412 27224 29438 29797 33456 33864 36618 40836 44157 48824 54448 57851 58876 59594 67728 73236 81672 88314 89391 97648 115702 117752 119188 146472 163344 173553 176628 178782 231404 235504 238376 250223 292944 347106 353256 357564 462808 476752 500446 506549 694212 706512 715128 750669 925616 1000892 1013098 1221677 1388424 1430256 1501338 1519647 2001784 2026196 2443354 2776848 3002676 3039294 3665031 4003568 4052392 4886708 6005352 6078588 7330062 8104784 9773416 12010704 12157176 14660124 19546832 20768509 24314352 29320248 41537018 58640496 62305527 83074036 124611054 166148072 249222108 332296144 498444216 996888432