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96468372 = 2232711132677
BaseRepresentation
bin1011011111111…
…11110110010100
320201112002201200
411233333312110
5144143441442
613323352500
72250652620
oct557776624
9221462650
1096468372
114a4aa130
1228382730
1316ca81a0
14cb52180
15870834c
hex5bffd94

96468372 has 144 divisors (see below), whose sum is σ = 327530112. Its totient is φ = 23120640.

The previous prime is 96468341. The next prime is 96468391. The reversal of 96468372 is 27386469.

It is a super-2 number, since 2×964683722 = 18612293592660768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34698 + ... + 37374.

Almost surely, 296468372 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 96468372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163765056).

96468372 is an abundant number, since it is smaller than the sum of its proper divisors (231061740).

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

96468372 is a wasteful number, since it uses less digits than its factorization.

96468372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2713 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 96468372 is about 9821.8313974533. The cubic root of 96468372 is about 458.6291449592.

The spelling of 96468372 in words is "ninety-six million, four hundred sixty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2677 2772 3003 3276 4004 5148 5354 6006 8031 9009 10708 12012 16062 18018 18739 24093 29447 32124 34801 36036 37478 48186 56217 58894 69602 74956 88341 96372 104403 112434 117788 139204 168651 176682 206129 208806 224868 243607 265023 313209 337302 353364 382811 412258 417612 487214 530046 618387 626418 674604 730821 765622 824516 974428 1060092 1148433 1236774 1252836 1461642 1531244 1855161 2192463 2296866 2473548 2679677 2923284 3445299 3710322 4384926 4593732 5359354 6890598 7420644 8039031 8769852 10718708 13781196 16078062 24117093 32156124 48234186 96468372