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152046414 = 23213649771
BaseRepresentation
bin10010001000000…
…00101101001110
3101121002202110200
421010000231032
5302410441124
623030514330
73524242002
oct1104005516
9347082420
10152046414
117890a7a3
1242b059a6
13256674c0
141629c702
15d535bc9
hex9100b4e

152046414 has 24 divisors (see below), whose sum is σ = 354775512. Its totient is φ = 46783440.

The previous prime is 152046407. The next prime is 152046421. The reversal of 152046414 is 414640251.

152046414 is a `hidden beast` number, since 15 + 2 + 0 + 4 + 641 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (152046407) and next prime (152046421).

It is a super-2 number, since 2×1520464142 = 46236224020518792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324652 + ... + 325119.

It is an arithmetic number, because the mean of its divisors is an integer number (14782313).

Almost surely, 2152046414 is an apocalyptic number.

152046414 is an abundant number, since it is smaller than the sum of its proper divisors (202729098).

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

152046414 is a wasteful number, since it uses less digits than its factorization.

152046414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649792 (or 649789 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152046414 is about 12330.7101985247. The cubic root of 152046414 is about 533.7346449155.

Adding to 152046414 its reverse (414640251), we get a palindrome (566686665).

The spelling of 152046414 in words is "one hundred fifty-two million, forty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 649771 1299542 1949313 3898626 5847939 8447023 11695878 16894046 25341069 50682138 76023207 152046414