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69481152 = 2634131031
BaseRepresentation
bin1000010010000…
…11001011000000
311211202000020000
410021003023000
5120241344102
610521120000
71502402646
oct411031300
9154660200
1069481152
1136247244
121b329000
1311519610
149329196
15617701c
hex42432c0

69481152 has 140 divisors (see below), whose sum is σ = 222022416. Its totient is φ = 21358080.

The previous prime is 69481151. The next prime is 69481189. The reversal of 69481152 is 25118496.

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

It is not an unprimeable number, because it can be changed into a prime (69481151) 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, 66877 + ... + 67907.

Almost surely, 269481152 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 69481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111011208).

69481152 is an abundant number, since it is smaller than the sum of its proper divisors (152541264).

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

69481152 is a wasteful number, since it uses less digits than its factorization.

69481152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1049 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 69481152 is about 8335.5354956955. The cubic root of 69481152 is about 411.1077558582.

It can be divided in two parts, 6948 and 1152, that added together give a square (8100 = 902).

The spelling of 69481152 in words is "sixty-nine million, four hundred eighty-one thousand, one hundred fifty-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 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1031 1053 1248 1296 1404 1728 1872 2062 2106 2496 2592 2808 3093 3744 4124 4212 5184 5616 6186 7488 8248 8424 9279 11232 12372 13403 16496 16848 18558 22464 24744 26806 27837 32992 33696 37116 40209 49488 53612 55674 65984 67392 74232 80418 83511 98976 107224 111348 120627 148464 160836 167022 197952 214448 222696 241254 296928 321672 334044 361881 428896 445392 482508 593856 643344 668088 723762 857792 890784 965016 1085643 1286688 1336176 1447524 1781568 1930032 2171286 2573376 2672352 2895048 3860064 4342572 5344704 5790096 7720128 8685144 11580192 17370288 23160384 34740576 69481152