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145625604 = 223172341757
BaseRepresentation
bin10001010111000…
…01001000000100
3101011000112202220
420223201020010
5244240004404
622241132340
73415540305
oct1053411004
9334015686
10145625604
1175224743
124092a0b0
1324229ac7
14154aa7ac
15cbb84d9
hex8ae1204

145625604 has 96 divisors (see below), whose sum is σ = 385088256. Its totient is φ = 42577920.

The previous prime is 145625573. The next prime is 145625681. The reversal of 145625604 is 406526541.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191994 + ... + 192750.

It is an arithmetic number, because the mean of its divisors is an integer number (4011336).

Almost surely, 2145625604 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 145625604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192544128).

145625604 is an abundant number, since it is smaller than the sum of its proper divisors (239462652).

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

145625604 is a wasteful number, since it uses less digits than its factorization.

145625604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 145625604 is about 12067.5434119791. The cubic root of 145625604 is about 526.1132585368.

The spelling of 145625604 in words is "one hundred forty-five million, six hundred twenty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 12 17 23 34 41 46 51 68 69 82 92 102 123 138 164 204 246 276 391 492 697 757 782 943 1173 1394 1514 1564 1886 2091 2271 2346 2788 2829 3028 3772 4182 4542 4692 5658 8364 9084 11316 12869 16031 17411 25738 31037 32062 34822 38607 48093 51476 52233 62074 64124 69644 77214 93111 96186 104466 124148 154428 186222 192372 208932 295987 372444 527629 591974 713851 887961 1055258 1183948 1427702 1582887 1775922 2110516 2141553 2855404 3165774 3551844 4283106 6331548 8566212 12135467 24270934 36406401 48541868 72812802 145625604