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30725604 = 223271383113
BaseRepresentation
bin111010100110…
…1010111100100
32010211000121100
41311031113210
530331204404
63014320100
7522110010
oct165152744
963730540
1030725604
1116386668
12a359030
13649a340
14411b540
152a6dd39
hex1d4d5e4

30725604 has 144 divisors (see below), whose sum is σ = 97598592. Its totient is φ = 7934976.

The previous prime is 30725581. The next prime is 30725633. The reversal of 30725604 is 40652703.

It is a happy number.

30725604 is a `hidden beast` number, since 30 + 7 + 25 + 604 = 666.

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, 271852 + ... + 271964.

It is an arithmetic number, because the mean of its divisors is an integer number (677768).

Almost surely, 230725604 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 30725604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48799296).

30725604 is an abundant number, since it is smaller than the sum of its proper divisors (66872988).

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

30725604 is a wasteful number, since it uses less digits than its factorization.

30725604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30725604 is about 5543.0681034965. The cubic root of 30725604 is about 313.2084543355.

It can be divided in two parts, 30725 and 604, that added together give a square (31329 = 1772).

The spelling of 30725604 in words is "thirty million, seven hundred twenty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 83 84 91 113 117 126 156 166 182 226 234 249 252 273 332 339 364 452 468 498 546 581 678 747 791 819 996 1017 1079 1092 1162 1356 1469 1494 1582 1638 1743 2034 2158 2324 2373 2938 2988 3164 3237 3276 3486 4068 4316 4407 4746 5229 5876 6474 6972 7119 7553 8814 9379 9492 9711 10283 10458 12948 13221 14238 15106 17628 18758 19422 20566 20916 22659 26442 28137 28476 30212 30849 37516 38844 41132 45318 52884 56274 61698 65653 67977 84411 90636 92547 112548 121927 123396 131306 135954 168822 185094 196959 243854 262612 271908 337644 365781 370188 393918 487708 590877 731562 787836 853489 1097343 1181754 1463124 1706978 2194686 2363508 2560467 3413956 4389372 5120934 7681401 10241868 15362802 30725604