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92420424 = 23323147881
BaseRepresentation
bin1011000001000…
…11100101001000
320102220102222200
411200203211020
5142124423144
613100520200
72201363205
oct540434510
9212812880
1092420424
1148194918
1226b50060
13161bb855
14c3bacac
1581a8c69
hex5823948

92420424 has 96 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 29145600.

The previous prime is 92420411. The next prime is 92420453. The reversal of 92420424 is 42402429.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104464 + ... + 105344.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 292420424 is an apocalyptic number.

92420424 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

92420424 is an abundant number, since it is smaller than the sum of its proper divisors (171756216).

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

92420424 is a wasteful number, since it uses less digits than its factorization.

92420424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 92420424 is about 9613.5541814669. The cubic root of 92420424 is about 452.1223596475.

The spelling of 92420424 in words is "ninety-two million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 558 564 744 846 881 1116 1128 1457 1692 1762 2232 2643 2914 3384 3524 4371 5286 5828 7048 7929 8742 10572 11656 13113 15858 17484 21144 26226 27311 31716 34968 41407 52452 54622 63432 81933 82814 104904 109244 124221 163866 165628 218488 245799 248442 327732 331256 372663 491598 496884 655464 745326 983196 993768 1283617 1490652 1966392 2567234 2981304 3850851 5134468 7701702 10268936 11552553 15403404 23105106 30806808 46210212 92420424