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70492032 = 273413523
BaseRepresentation
bin1000011001110…
…01111110000000
311220122100220000
410030321332000
5121021221112
610554520000
71514113062
oct414717600
9156570800
1070492032
1136877786
121b736000
13117b1780
14950d732
1562c67dc
hex4339f80

70492032 has 160 divisors (see below), whose sum is σ = 226352280. Its totient is φ = 21648384.

The previous prime is 70492031. The next prime is 70492061. The reversal of 70492032 is 23029407.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 70491987 and 70492005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70492031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134523 + ... + 135045.

Almost surely, 270492032 is an apocalyptic number.

70492032 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 70492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113176140).

70492032 is an abundant number, since it is smaller than the sum of its proper divisors (155860248).

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

70492032 is a wasteful number, since it uses less digits than its factorization.

70492032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 70492032 is about 8395.9533109707. The cubic root of 70492032 is about 413.0918973860.

The spelling of 70492032 in words is "seventy million, four hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 523 576 624 648 702 832 864 936 1046 1053 1152 1248 1296 1404 1569 1664 1728 1872 2092 2106 2496 2592 2808 3138 3456 3744 4184 4212 4707 4992 5184 5616 6276 6799 7488 8368 8424 9414 10368 11232 12552 13598 14121 14976 16736 16848 18828 20397 22464 25104 27196 28242 33472 33696 37656 40794 42363 44928 50208 54392 56484 61191 66944 67392 75312 81588 84726 100416 108784 112968 122382 134784 150624 163176 169452 183573 200832 217568 225936 244764 301248 326352 338904 367146 435136 451872 489528 550719 602496 652704 677808 734292 870272 903744 979056 1101438 1305408 1355616 1468584 1807488 1958112 2202876 2610816 2711232 2937168 3916224 4405752 5422464 5874336 7832448 8811504 11748672 17623008 23497344 35246016 70492032