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97379712 = 2733191483
BaseRepresentation
bin1011100110111…
…10010110000000
320210020101212000
411303132112000
5144412122322
613355104000
72261466603
oct563362600
9223211760
1097379712
114aa71901
1228742000
1317236c41
14cd0c33a
1588383ac
hex5cde580

97379712 has 128 divisors (see below), whose sum is σ = 302736000. Its totient is φ = 30730752.

The previous prime is 97379699. The next prime is 97379741. The reversal of 97379712 is 21797379.

It is a tau number, because it is divible by the number of its divisors (128).

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, 64923 + ... + 66405.

It is an arithmetic number, because the mean of its divisors is an integer number (2365125).

Almost surely, 297379712 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 97379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151368000).

97379712 is an abundant number, since it is smaller than the sum of its proper divisors (205356288).

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

97379712 is a wasteful number, since it uses less digits than its factorization.

97379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1507 counting only the distinct ones).

The product of its digits is 166698, while the sum is 45.

The square root of 97379712 is about 9868.1159295987. The cubic root of 97379712 is about 460.0688491780.

The spelling of 97379712 in words is "ninety-seven million, three hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1483 1728 1824 2052 2432 2736 2966 3456 3648 4104 4449 5472 5932 7296 8208 8898 10944 11864 13347 16416 17796 21888 23728 26694 28177 32832 35592 40041 47456 53388 56354 65664 71184 80082 84531 94912 106776 112708 142368 160164 169062 189824 213552 225416 253593 284736 320328 338124 427104 450832 507186 569472 640656 676248 760779 854208 901664 1014372 1281312 1352496 1521558 1708416 1803328 2028744 2562624 2704992 3043116 3606656 4057488 5125248 5409984 6086232 8114976 10819968 12172464 16229952 24344928 32459904 48689856 97379712