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97561048 = 23131997509
BaseRepresentation
bin1011101000010…
…10100111011000
320210120121121011
411310022213120
5144433423143
613403023304
72263153354
oct564124730
9223517534
1097561048
1150086072
122880ab34
131729b640
14cd58464
158871e9d
hex5d0a9d8

97561048 has 64 divisors (see below), whose sum is σ = 209916000. Its totient is φ = 42135552.

The previous prime is 97561033. The next prime is 97561063. The reversal of 97561048 is 84016579.

It is an interprime number because it is at equal distance from previous prime (97561033) and next prime (97561063).

It is a self number, because there is not a number n which added to its sum of digits gives 97561048.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 191418 + ... + 191926.

Almost surely, 297561048 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 97561048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104958000).

97561048 is an abundant number, since it is smaller than the sum of its proper divisors (112354952).

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

97561048 is a wasteful number, since it uses less digits than its factorization.

97561048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 97561048 is about 9877.2996309720. The cubic root of 97561048 is about 460.3542450849.

The spelling of 97561048 in words is "ninety-seven million, five hundred sixty-one thousand, forty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 97 104 152 194 247 388 494 509 776 988 1018 1261 1843 1976 2036 2522 3686 4072 5044 6617 7372 9671 10088 13234 14744 19342 23959 26468 38684 47918 49373 52936 77368 95836 98746 125723 191672 197492 251446 394984 502892 641849 938087 1005784 1283698 1876174 2567396 3752348 5134792 7504696 12195131 24390262 48780524 97561048