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97475004 = 2232111311879
BaseRepresentation
bin1011100111101…
…01100110111100
320210102020120100
411303311212330
5144423200004
613401121100
72262344454
oct563654674
9223366510
1097475004
1150027460
1228789190
131726b423
14cd34d64
158856739
hex5cf59bc

97475004 has 72 divisors (see below), whose sum is σ = 270990720. Its totient is φ = 29296800.

The previous prime is 97474963. The next prime is 97475029. The reversal of 97475004 is 40057479.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97475004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50937 + ... + 52815.

It is an arithmetic number, because the mean of its divisors is an integer number (3763760).

Almost surely, 297475004 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 97475004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135495360).

97475004 is an abundant number, since it is smaller than the sum of its proper divisors (173515716).

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

97475004 is a wasteful number, since it uses less digits than its factorization.

97475004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 97475004 is about 9872.9430262713. The cubic root of 97475004 is about 460.2188687502.

The spelling of 97475004 in words is "ninety-seven million, four hundred seventy-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 131 132 198 262 393 396 524 786 1179 1441 1572 1879 2358 2882 3758 4323 4716 5637 5764 7516 8646 11274 12969 16911 17292 20669 22548 25938 33822 41338 51876 62007 67644 82676 124014 186021 246149 248028 372042 492298 738447 744084 984596 1476894 2215341 2707639 2953788 4430682 5415278 8122917 8861364 10830556 16245834 24368751 32491668 48737502 97475004