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97916490 = 23257155423
BaseRepresentation
bin1011101011000…
…01011001001010
320211020200011200
411311201121022
5200031311430
613414405030
72266163550
oct565413112
9224220150
1097916490
11502a9121
1228960776
1317394369
14d00bbd0
1588e2460
hex5d6164a

97916490 has 48 divisors (see below), whose sum is σ = 290953728. Its totient is φ = 22380768.

The previous prime is 97916479. The next prime is 97916491. The reversal of 97916490 is 9461979.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97916491) 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 23 ways as a sum of consecutive naturals, for example, 77082 + ... + 78341.

It is an arithmetic number, because the mean of its divisors is an integer number (6061536).

Almost surely, 297916490 is an apocalyptic number.

97916490 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97916490 is an abundant number, since it is smaller than the sum of its proper divisors (193037238).

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

97916490 is a wasteful number, since it uses less digits than its factorization.

97916490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155443 (or 155440 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 97916490 is about 9895.2761457172. The cubic root of 97916490 is about 460.9126336447.

The spelling of 97916490 in words is "ninety-seven million, nine hundred sixteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 155423 310846 466269 777115 932538 1087961 1398807 1554230 2175922 2331345 2797614 3263883 4662690 5439805 6527766 6994035 9791649 10879610 13988070 16319415 19583298 32638830 48958245 97916490