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145476296 = 23722967191
BaseRepresentation
bin10001010101111…
…00101011001000
3101010201221221222
420222330223020
5244220220141
622234021212
73414346100
oct1052745310
9333657858
10145476296
1175132549
1240877808
13241a6b64
141546c200
15cb8914b
hex8abcac8

145476296 has 96 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 58988160.

The previous prime is 145476263. The next prime is 145476301. The reversal of 145476296 is 692674541.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 761561 + ... + 761751.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2145476296 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 145476296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

145476296 is an abundant number, since it is smaller than the sum of its proper divisors (189410104).

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

145476296 is a wasteful number, since it uses less digits than its factorization.

145476296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 145476296 is about 12061.3554793812. The cubic root of 145476296 is about 525.9333914027.

The spelling of 145476296 in words is "one hundred forty-five million, four hundred seventy-six thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 67 98 116 134 191 196 203 232 268 382 392 406 469 536 764 812 938 1337 1421 1528 1624 1876 1943 2674 2842 3283 3752 3886 5348 5539 5684 6566 7772 9359 10696 11078 11368 12797 13132 13601 15544 18718 22156 25594 26264 27202 37436 38773 44312 51188 54404 74872 77546 89579 95207 102376 108808 155092 179158 190414 271411 310184 358316 371113 380828 542822 627053 716632 742226 761656 1085644 1254106 1484452 2171288 2508212 2597791 2968904 5016424 5195582 10391164 18184537 20782328 36369074 72738148 145476296