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96742432 = 2543167421
BaseRepresentation
bin1011100010000…
…10110000100000
320202001000200001
411301002300200
5144231224212
613333305344
72253203623
oct561026040
9222030601
1096742432
114a677026
1228495254
1317072b57
14cbc3dba
15875e657
hex5c42c20

96742432 has 48 divisors (see below), whose sum is σ = 196523712. Its totient is φ = 46851840.

The previous prime is 96742423. The next prime is 96742469. The reversal of 96742432 is 23424769.

It is a junction number, because it is equal to n+sod(n) for n = 96742391 and 96742400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229582 + ... + 230002.

It is an arithmetic number, because the mean of its divisors is an integer number (4094244).

Almost surely, 296742432 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 96742432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98261856).

96742432 is an abundant number, since it is smaller than the sum of its proper divisors (99781280).

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

96742432 is a wasteful number, since it uses less digits than its factorization.

96742432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 96742432 is about 9835.7730758695. The cubic root of 96742432 is about 459.0630455942.

The spelling of 96742432 in words is "ninety-six million, seven hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 86 167 172 334 344 421 668 688 842 1336 1376 1684 2672 3368 5344 6736 7181 13472 14362 18103 28724 36206 57448 70307 72412 114896 140614 144824 229792 281228 289648 562456 579296 1124912 2249824 3023201 6046402 12092804 24185608 48371216 96742432