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1046157252 = 2237219293229
BaseRepresentation
bin111110010110110…
…001011111000100
32200220112021221220
4332112301133010
54120304013002
6251450440340
734632122100
oct7626613704
92626467856
101046157252
1149758a478
122524330b0
1313897b47a
149cd24900
1561c9c7bc
hex3e5b17c4

1046157252 has 144 divisors (see below), whose sum is σ = 3093048000. Its totient is φ = 273321216.

The previous prime is 1046157251. The next prime is 1046157311. The reversal of 1046157252 is 2527516401.

It is not an unprimeable number, because it can be changed into a prime (1046157251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322374 + ... + 325602.

It is an arithmetic number, because the mean of its divisors is an integer number (21479500).

Almost surely, 21046157252 is an apocalyptic number.

1046157252 is a gapful number since it is divisible by the number (12) 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 1046157252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546524000).

1046157252 is an abundant number, since it is smaller than the sum of its proper divisors (2046890748).

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

1046157252 is a wasteful number, since it uses less digits than its factorization.

1046157252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1046157252 is about 32344.3542523266. The cubic root of 1046157252 is about 1015.1549188824.

The spelling of 1046157252 in words is "one billion, forty-six million, one hundred fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 49 57 58 76 84 87 98 114 116 133 147 174 196 203 228 266 294 348 399 406 532 551 588 609 798 812 931 1102 1218 1421 1596 1653 1862 2204 2436 2793 2842 3229 3306 3724 3857 4263 5586 5684 6458 6612 7714 8526 9687 11172 11571 12916 15428 17052 19374 22603 23142 26999 38748 45206 46284 53998 61351 67809 80997 90412 93641 107996 122702 135618 158221 161994 184053 187282 245404 271236 280923 316442 323988 368106 374564 429457 474663 561846 632884 655487 736212 858914 949326 1123692 1288371 1310974 1717828 1779179 1898652 1966461 2576742 2621948 3006199 3558358 3932922 4588409 5153484 5337537 6012398 7116716 7865844 9018597 9176818 10675074 12024796 12454253 13765227 18037194 18353636 21350148 24908506 27530454 36074388 37362759 49817012 55060908 74725518 87179771 149451036 174359542 261539313 348719084 523078626 1046157252