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74086992 = 24327671097
BaseRepresentation
bin1000110101001…
…11101001010000
312011102000020200
410122213221100
5122431240432
611203535200
71556505030
oct432475120
9164360220
1074086992
1138902721
122098a500
131246cb75
149ba78c0
156786a7c
hex46a7a50

74086992 has 120 divisors (see below), whose sum is σ = 240716736. Its totient is φ = 20832768.

The previous prime is 74086963. The next prime is 74087033. The reversal of 74086992 is 29968047.

It is a happy number.

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, 66988 + ... + 68084.

Almost surely, 274086992 is an apocalyptic number.

74086992 is a gapful number since it is divisible by the number (72) 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 74086992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120358368).

74086992 is an abundant number, since it is smaller than the sum of its proper divisors (166629744).

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

74086992 is a wasteful number, since it uses less digits than its factorization.

74086992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 74086992 is about 8607.3800892025. The cubic root of 74086992 is about 419.9980952295.

It can be divided in two parts, 74086 and 992, that added together give a triangular number (75078 = T387).

The spelling of 74086992 in words is "seventy-four million, eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1097 1206 1407 1608 1876 2194 2412 2814 3216 3291 3752 4221 4388 4824 5628 6582 7504 7679 8442 8776 9648 9873 11256 13164 15358 16884 17552 19746 22512 23037 26328 30716 33768 39492 46074 52656 61432 67536 69111 73499 78984 92148 122864 138222 146998 157968 184296 220497 276444 293996 368592 440994 514493 552888 587992 661491 881988 1028986 1105776 1175984 1322982 1543479 1763976 2057972 2645964 3086958 3527952 4115944 4630437 5291928 6173916 8231888 9260874 10583856 12347832 18521748 24695664 37043496 74086992