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97503552 = 26321091553
BaseRepresentation
bin1011100111111…
…00100101000000
320210110200201200
411303330211000
5144430103202
613401501200
72262523626
oct563744500
9223420650
1097503552
1150046953
12287a1800
131727b413
14cd41516
15885ee1c
hex5cfc940

97503552 has 84 divisors (see below), whose sum is σ = 282221940. Its totient is φ = 32182272.

The previous prime is 97503533. The next prime is 97503557. The reversal of 97503552 is 25530579.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 61214976 = 6024^2 + 7824^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97503557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62008 + ... + 63560.

It is an arithmetic number, because the mean of its divisors is an integer number (3359785).

Almost surely, 297503552 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 97503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141110970).

97503552 is an abundant number, since it is smaller than the sum of its proper divisors (184718388).

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

97503552 is a wasteful number, since it uses less digits than its factorization.

97503552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 97503552 is about 9874.3886899392. The cubic root of 97503552 is about 460.2637932447.

The spelling of 97503552 in words is "ninety-seven million, five hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 144 192 218 288 327 436 576 654 872 981 1308 1553 1744 1962 2616 3106 3488 3924 4659 5232 6212 6976 7848 9318 10464 12424 13977 15696 18636 20928 24848 27954 31392 37272 49696 55908 62784 74544 99392 111816 149088 169277 223632 298176 338554 447264 507831 677108 894528 1015662 1354216 1523493 2031324 2708432 3046986 4062648 5416864 6093972 8125296 10833728 12187944 16250592 24375888 32501184 48751776 97503552