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75530364 = 223721341241
BaseRepresentation
bin1001000000010…
…00000001111100
312021010100011220
410200020001330
5123313432424
611254513340
71604666100
oct440100174
9167110156
1075530364
11396a9098
1221365850
1312856b30
14a061900
15696e579
hex480807c

75530364 has 144 divisors (see below), whose sum is σ = 227104416. Its totient is φ = 19353600.

The previous prime is 75530341. The next prime is 75530381. The reversal of 75530364 is 46303557.

It is a congruent number.

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, 313284 + ... + 313524.

It is an arithmetic number, because the mean of its divisors is an integer number (1577114).

Almost surely, 275530364 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 75530364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113552208).

75530364 is an abundant number, since it is smaller than the sum of its proper divisors (151574052).

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

75530364 is a wasteful number, since it uses less digits than its factorization.

75530364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 75530364 is about 8690.8206747119. The cubic root of 75530364 is about 422.7080571385.

The spelling of 75530364 in words is "seventy-five million, five hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 49 52 78 82 84 91 98 123 147 156 164 182 196 241 246 273 287 294 364 482 492 533 546 574 588 637 723 861 964 1066 1092 1148 1274 1446 1599 1687 1722 1911 2009 2132 2548 2892 3133 3198 3374 3444 3731 3822 4018 5061 6027 6266 6396 6748 7462 7644 8036 9399 9881 10122 11193 11809 12054 12532 14924 18798 19762 20244 21931 22386 23618 24108 26117 29643 35427 37596 39524 43862 44772 47236 52234 59286 65793 69167 70854 78351 87724 104468 118572 128453 131586 138334 141708 153517 156702 207501 256906 263172 276668 307034 313404 385359 415002 460551 484169 513812 614068 770718 830004 899171 921102 968338 1452507 1541436 1798342 1842204 1936676 2697513 2905014 3596684 5395026 5810028 6294197 10790052 12588394 18882591 25176788 37765182 75530364