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99772008 = 23374011481
BaseRepresentation
bin1011111001001…
…10011001101000
320221201221110120
411330212121220
5201020201013
613522243240
72321022330
oct574463150
9227657416
1099772008
1151356206
12294b6520
1317893abb
14d3720c0
158b5c123
hex5f26668

99772008 has 64 divisors (see below), whose sum is σ = 285966720. Its totient is φ = 28416000.

The previous prime is 99772007. The next prime is 99772051. The reversal of 99772008 is 80027799.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (99772003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66628 + ... + 68108.

It is an arithmetic number, because the mean of its divisors is an integer number (4468230).

Almost surely, 299772008 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 99772008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142983360).

99772008 is an abundant number, since it is smaller than the sum of its proper divisors (186194712).

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

99772008 is a wasteful number, since it uses less digits than its factorization.

99772008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 99772008 is about 9988.5938950385. The cubic root of 99772008 is about 463.8058665681.

The spelling of 99772008 in words is "ninety-nine million, seven hundred seventy-two thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 401 802 1203 1481 1604 2406 2807 2962 3208 4443 4812 5614 5924 8421 8886 9624 10367 11228 11848 16842 17772 20734 22456 31101 33684 35544 41468 62202 67368 82936 124404 248808 593881 1187762 1781643 2375524 3563286 4157167 4751048 7126572 8314334 12471501 14253144 16628668 24943002 33257336 49886004 99772008