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96444432 = 2434710631
BaseRepresentation
bin1011011111110…
…10000000010000
320201110212220000
411233322000100
5144142210212
613323050000
72250523050
oct557720020
9221425800
1096444432
114a493147
1228370900
1316c9a316
14cb47560
1587011dc
hex5bfa010

96444432 has 100 divisors (see below), whose sum is σ = 319045056. Its totient is φ = 27552960.

The previous prime is 96444407. The next prime is 96444479. The reversal of 96444432 is 23444469.

96444432 is a `hidden beast` number, since 9 + 644 + 4 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3757 + ... + 14387.

Almost surely, 296444432 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 96444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159522528).

96444432 is an abundant number, since it is smaller than the sum of its proper divisors (222600624).

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

96444432 is a wasteful number, since it uses less digits than its factorization.

96444432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10643 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 96444432 is about 9820.6126081829. The cubic root of 96444432 is about 458.5912033697.

The spelling of 96444432 in words is "ninety-six million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 10631 21262 31893 42524 63786 74417 85048 95679 127572 148834 170096 191358 223251 255144 287037 297668 382716 446502 510288 574074 595336 669753 765432 861111 893004 1148148 1190672 1339506 1530864 1722222 1786008 2009259 2296296 2679012 3444444 3572016 4018518 4592592 5358024 6027777 6888888 8037036 10716048 12055554 13777776 16074072 24111108 32148144 48222216 96444432