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96937434 = 232111731929
BaseRepresentation
bin1011100011100…
…10010111011010
320202101221011100
411301302113122
5144303444214
613341412230
72254645266
oct561622732
9222357140
1096937434
114a79a590
122856a076
1317110839
14cc350a6
15879c309
hex5c725da

96937434 has 96 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 26726400.

The previous prime is 96937391. The next prime is 96937471. The reversal of 96937434 is 43473969.

It is a super-2 number, since 2×969374342 = 18793732221008712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96937434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103882 + ... + 104810.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 296937434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96937434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

96937434 is an abundant number, since it is smaller than the sum of its proper divisors (153760806).

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

96937434 is a wasteful number, since it uses less digits than its factorization.

96937434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 993 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 96937434 is about 9845.6809820347. The cubic root of 96937434 is about 459.3712803253.

The spelling of 96937434 in words is "ninety-six million, nine hundred thirty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 31 33 34 51 62 66 93 99 102 153 186 187 198 279 306 341 374 527 558 561 682 929 1023 1054 1122 1581 1683 1858 2046 2787 3069 3162 3366 4743 5574 5797 6138 8361 9486 10219 11594 15793 16722 17391 20438 28799 30657 31586 34782 47379 52173 57598 61314 86397 91971 94758 104346 142137 172794 173723 183942 259191 284274 316789 347446 489583 518382 521169 633578 950367 979166 1042338 1468749 1563507 1900734 2851101 2937498 3127014 4406247 5385413 5702202 8812494 10770826 16156239 32312478 48468717 96937434