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152551014 = 237211431097
BaseRepresentation
bin10010001011110…
…11111001100110
3101122001101122120
421011323321212
5303023113024
623045410410
73531443100
oct1105737146
9348041576
10152551014
1179124920
1243109a06
13257b3095
1416390570
15d5d5479
hex917be66

152551014 has 96 divisors (see below), whose sum is σ = 396544896. Its totient is φ = 38666880.

The previous prime is 152551001. The next prime is 152551033. The reversal of 152551014 is 410155251.

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, 138514 + ... + 139610.

It is an arithmetic number, because the mean of its divisors is an integer number (4130676).

Almost surely, 2152551014 is an apocalyptic number.

152551014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152551014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198272448).

152551014 is an abundant number, since it is smaller than the sum of its proper divisors (243993882).

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

152551014 is a wasteful number, since it uses less digits than its factorization.

152551014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 152551014 is about 12351.1543590063. The cubic root of 152551014 is about 534.3244321767.

The spelling of 152551014 in words is "one hundred fifty-two million, five hundred fifty-one thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 49 66 77 86 98 129 147 154 231 258 294 301 462 473 539 602 903 946 1078 1097 1419 1617 1806 2107 2194 2838 3234 3291 3311 4214 6321 6582 6622 7679 9933 12067 12642 15358 19866 23037 23177 24134 36201 46074 46354 47171 53753 69531 72402 84469 94342 107506 139062 141513 161259 168938 253407 283026 322518 330197 506814 518881 591283 660394 990591 1037762 1182566 1556643 1773849 1981182 2311379 3113286 3547698 3632167 4622758 6934137 7264334 10896501 13868274 21793002 25425169 50850338 76275507 152551014