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75473064 = 233217197313
BaseRepresentation
bin1000111111110…
…10000010101000
312021000102120200
410133322002220
5123310114224
611253352200
71604340042
oct437720250
9167012520
1075473064
113966a037
1221338660
1312836a24
14a048a92
15695c5c9
hex47fa0a8

75473064 has 96 divisors (see below), whose sum is σ = 218223720. Its totient is φ = 23482368.

The previous prime is 75473053. The next prime is 75473107. The reversal of 75473064 is 46037457.

It can be written as a sum of positive squares in 4 ways, for example, as 69856164 + 5616900 = 8358^2 + 2370^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240972 + ... + 241284.

Almost surely, 275473064 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 75473064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109111860).

75473064 is an abundant number, since it is smaller than the sum of its proper divisors (142750656).

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

75473064 is a wasteful number, since it uses less digits than its factorization.

75473064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 75473064 is about 8687.5234675942. The cubic root of 75473064 is about 422.6011363454.

The spelling of 75473064 in words is "seventy-five million, four hundred seventy-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 197 204 306 313 394 408 591 612 626 788 939 1182 1224 1252 1576 1773 1878 2364 2504 2817 3349 3546 3756 4728 5321 5634 6698 7092 7512 10047 10642 11268 13396 14184 15963 20094 21284 22536 26792 30141 31926 40188 42568 47889 60282 61661 63852 80376 95778 120564 123322 127704 184983 191556 241128 246644 369966 383112 493288 554949 739932 1048237 1109898 1479864 2096474 2219796 3144711 4192948 4439592 6289422 8385896 9434133 12578844 18868266 25157688 37736532 75473064