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74424096 = 253517563
BaseRepresentation
bin1000110111110…
…01111100100000
312012001010200000
410123321330200
5123023032341
611215100000
71562410605
oct433717440
9165033600
1074424096
1139012a1a
1220b11600
131255a436
149c546ac
1568018b6
hex46f9f20

74424096 has 144 divisors (see below), whose sum is σ = 232805664. Its totient is φ = 23307264.

The previous prime is 74424089. The next prime is 74424101. The reversal of 74424096 is 69042447.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 74424096.

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, 131911 + ... + 132473.

It is an arithmetic number, because the mean of its divisors is an integer number (1616706).

Almost surely, 274424096 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 74424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116402832).

74424096 is an abundant number, since it is smaller than the sum of its proper divisors (158381568).

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

74424096 is a wasteful number, since it uses less digits than its factorization.

74424096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 74424096 is about 8626.9401296172. The cubic root of 74424096 is about 420.6341440858.

The spelling of 74424096 in words is "seventy-four million, four hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 563 612 648 816 864 918 972 1126 1224 1296 1377 1632 1689 1836 1944 2252 2448 2592 2754 3378 3672 3888 4131 4504 4896 5067 5508 6756 7344 7776 8262 9008 9571 10134 11016 13512 14688 15201 16524 18016 19142 20268 22032 27024 28713 30402 33048 38284 40536 44064 45603 54048 57426 60804 66096 76568 81072 86139 91206 114852 121608 132192 136809 153136 162144 172278 182412 229704 243216 258417 273618 306272 344556 364824 459408 486432 516834 547236 689112 729648 775251 918816 1033668 1094472 1378224 1459296 1550502 2067336 2188944 2325753 2756448 3101004 4134672 4377888 4651506 6202008 8269344 9303012 12404016 18606024 24808032 37212048 74424096