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145569424 = 247111361149
BaseRepresentation
bin10001010110100…
…11011010010000
3101010220200201011
420223103122100
5244231210144
622240020304
73415214440
oct1053233220
9333820634
10145569424
1175196510
1240901694
132420a370
1415494120
15cba6a34
hex8ad3690

145569424 has 160 divisors (see below), whose sum is σ = 387475200. Its totient is φ = 51148800.

The previous prime is 145569421. The next prime is 145569451. The reversal of 145569424 is 424965541.

It is not an unprimeable number, because it can be changed into a prime (145569421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976902 + ... + 977050.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2145569424 is an apocalyptic number.

145569424 is a gapful number since it is divisible by the number (14) 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 145569424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

145569424 is an abundant number, since it is smaller than the sum of its proper divisors (241905776).

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

145569424 is a wasteful number, since it uses less digits than its factorization.

145569424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 145569424 is about 12065.2154560124. The cubic root of 145569424 is about 526.0455945094.

The spelling of 145569424 in words is "one hundred forty-five million, five hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 61 77 88 91 104 112 122 143 149 154 176 182 208 244 286 298 308 364 427 488 572 596 616 671 728 793 854 976 1001 1043 1144 1192 1232 1342 1456 1586 1639 1708 1937 2002 2086 2288 2384 2684 3172 3278 3416 3874 4004 4172 4697 5368 5551 6344 6556 6832 7748 8008 8344 8723 9089 9394 10736 11102 11473 12688 13112 13559 15496 16016 16688 17446 18178 18788 21307 22204 22946 26224 27118 30992 34892 36356 37576 42614 44408 45892 54236 61061 63623 69784 72712 75152 85228 88816 91784 99979 108472 118157 122122 127246 139568 145424 149149 170456 183568 199958 216944 236314 244244 254492 298298 340912 399916 472628 488488 508984 596596 699853 799832 827099 945256 976976 1017968 1193192 1299727 1399706 1599664 1654198 1890512 2386384 2599454 2799412 3308396 5198908 5598824 6616792 9098089 10397816 11197648 13233584 18196178 20795632 36392356 72784712 145569424