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96493392 = 24321634111
BaseRepresentation
bin1011100000001…
…01111101010000
320201120101001100
411300011331100
5144200242032
613324104400
72251115562
oct560057520
9221511040
1096493392
114a516a06
1228395100
1316cb66a8
14cb5b332
15871097c
hex5c05f50

96493392 has 60 divisors (see below), whose sum is σ = 271770304. Its totient is φ = 31959360.

The previous prime is 96493363. The next prime is 96493409. The reversal of 96493392 is 29339469.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21417 + ... + 25527.

Almost surely, 296493392 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 96493392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135885152).

96493392 is an abundant number, since it is smaller than the sum of its proper divisors (175276912).

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

96493392 is a wasteful number, since it uses less digits than its factorization.

96493392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4279 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 96493392 is about 9823.1050080919. The cubic root of 96493392 is about 458.6687914916.

It can be divided in two parts, 9649 and 3392, that added together give a triangular number (13041 = T161).

The spelling of 96493392 in words is "ninety-six million, four hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1956 2608 2934 3912 4111 5868 7824 8222 11736 12333 16444 23472 24666 32888 36999 49332 65776 73998 98664 147996 197328 295992 591984 670093 1340186 2010279 2680372 4020558 5360744 6030837 8041116 10721488 12061674 16082232 24123348 32164464 48246696 96493392