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413152425 = 32527277947
BaseRepresentation
bin11000101000000…
…011010010101001
31001210102022120200
4120220003102221
51321231334200
6104555142413
713144511010
oct3050032251
91053368520
10413152425
111a2239594
12b6444a09
1367797cba
143cc29a77
1526410800
hex18a034a9

413152425 has 72 divisors (see below), whose sum is σ = 849665856. Its totient is φ = 187989120.

The previous prime is 413152417. The next prime is 413152433. The reversal of 413152425 is 524251314.

413152425 is a `hidden beast` number, since 4 + 131 + 524 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (413152417) and next prime (413152433).

It is not a de Polignac number, because 413152425 - 23 = 413152417 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 435802 + ... + 436748.

Almost surely, 2413152425 is an apocalyptic number.

413152425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413152425 is an abundant number, since it is smaller than the sum of its proper divisors (436513431).

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

413152425 is a wasteful number, since it uses less digits than its factorization.

413152425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1239 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 413152425 is about 20326.1512589078. The cubic root of 413152425 is about 744.7950279167.

The spelling of 413152425 in words is "four hundred thirteen million, one hundred fifty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 277 315 525 831 947 1385 1575 1939 2493 2841 4155 4735 5817 6629 6925 8523 9695 12465 14205 17451 19887 20775 23675 29085 33145 42615 48475 59661 62325 71025 87255 99435 145425 165725 213075 262319 298305 436275 497175 786957 1311595 1491525 1836233 2360871 3934785 5508699 6557975 9181165 11804355 16526097 19673925 27543495 45905825 59021775 82630485 137717475 413152425