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70946928 = 2434134211
BaseRepresentation
bin1000011101010…
…01000001110000
311221111110220000
410032221001300
5121130300203
611012350000
71521016233
oct416510160
9157443800
1070946928
1137058528
121b915300
1311910840
1495cb41a
1563664a3
hex43a9070

70946928 has 100 divisors (see below), whose sum is σ = 221188968. Its totient is φ = 21824640.

The previous prime is 70946921. The next prime is 70946951. The reversal of 70946928 is 82964907.

It is a happy number.

It is a Cunningham number, because it is equal to 84232-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70946921) 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, 14743 + ... + 18953.

Almost surely, 270946928 is an apocalyptic number.

70946928 is a gapful number since it is divisible by the number (78) 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 70946928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110594484).

70946928 is an abundant number, since it is smaller than the sum of its proper divisors (150242040).

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

70946928 is a wasteful number, since it uses less digits than its factorization.

70946928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4229 counting only the distinct ones).

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

The square root of 70946928 is about 8422.9999406387. Note that the first 4 decimals coincide. The cubic root of 70946928 is about 413.9785748207.

The spelling of 70946928 in words is "seventy million, nine hundred forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4211 4212 5616 8422 8424 12633 16844 16848 25266 33688 37899 50532 54743 67376 75798 101064 109486 113697 151596 164229 202128 218972 227394 303192 328458 341091 437944 454788 492687 606384 656916 682182 875888 909576 985374 1313832 1364364 1478061 1819152 1970748 2627664 2728728 2956122 3941496 4434183 5457456 5912244 7882992 8868366 11824488 17736732 23648976 35473464 70946928