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97741408 = 2543251283
BaseRepresentation
bin1011101001101…
…10101001100000
320210220210000011
411310312221200
5200010211113
613410534304
72264534242
oct564665140
9223823004
1097741408
1150199626
1228897394
131733276b
14cda4092
1588aa63d
hex5d36a60

97741408 has 48 divisors (see below), whose sum is σ = 198386496. Its totient is φ = 47376000.

The previous prime is 97741373. The next prime is 97741429. The reversal of 97741408 is 80414779.

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 7 ways as a sum of consecutive naturals, for example, 345235 + ... + 345517.

It is an arithmetic number, because the mean of its divisors is an integer number (4133052).

Almost surely, 297741408 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 97741408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99193248).

97741408 is an abundant number, since it is smaller than the sum of its proper divisors (100645088).

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

97741408 is a wasteful number, since it uses less digits than its factorization.

97741408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 97741408 is about 9886.4254409771. The cubic root of 97741408 is about 460.6377543358.

The spelling of 97741408 in words is "ninety-seven million, seven hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 43 86 172 251 283 344 502 566 688 1004 1132 1376 2008 2264 4016 4528 8032 9056 10793 12169 21586 24338 43172 48676 71033 86344 97352 142066 172688 194704 284132 345376 389408 568264 1136528 2273056 3054419 6108838 12217676 24435352 48870704 97741408