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45476964 = 2235135961
BaseRepresentation
bin1010110101111…
…0110001100100
310011120110200000
42231132301210
543120230324
64302421300
71061355621
oct255366144
9104513600
1045476964
1123741575
1213291830
139563760
14607b348
153ed49c9
hex2b5ec64

45476964 has 144 divisors (see below), whose sum is σ = 132699840. Its totient is φ = 13530240.

The previous prime is 45476947. The next prime is 45476993. The reversal of 45476964 is 46967454.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745494 + ... + 745554.

Almost surely, 245476964 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 45476964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66349920).

45476964 is an abundant number, since it is smaller than the sum of its proper divisors (87222876).

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

45476964 is a wasteful number, since it uses less digits than its factorization.

45476964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 45476964 is about 6743.6610235094. The cubic root of 45476964 is about 356.9415906135.

It can be divided in two parts, 4547 and 6964, that added together give a palindrome (11511).

The spelling of 45476964 in words is "forty-five million, four hundred seventy-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 61 78 81 108 117 118 122 156 162 177 183 234 236 243 244 324 351 354 366 468 486 531 549 702 708 732 767 793 972 1053 1062 1098 1404 1534 1586 1593 1647 2106 2124 2196 2301 2379 3068 3159 3172 3186 3294 3599 4212 4602 4758 4779 4941 6318 6372 6588 6903 7137 7198 9204 9516 9558 9882 10797 12636 13806 14274 14337 14396 14823 19116 19764 20709 21411 21594 27612 28548 28674 29646 32391 41418 42822 43188 46787 57348 59292 62127 64233 64782 82836 85644 93574 97173 124254 128466 129564 140361 186381 187148 192699 194346 248508 256932 280722 291519 372762 385398 388692 421083 561444 583038 745524 770796 842166 874557 1166076 1263249 1684332 1749114 2526498 3498228 3789747 5052996 7579494 11369241 15158988 22738482 45476964