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66914352 = 24321937661
BaseRepresentation
bin1111111101000…
…0100000110000
311122220121020100
43333100200300
5114112224402
610350112400
71441522401
oct377204060
9148817210
1066914352
113485381a
121a4ab700
1310b2b1bb
148c5b9a8
155d1b71c
hex3fd0830

66914352 has 120 divisors (see below), whose sum is σ = 202757360. Its totient is φ = 20528640.

The previous prime is 66914299. The next prime is 66914357. The reversal of 66914352 is 25341966.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66914357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100902 + ... + 101562.

Almost surely, 266914352 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 66914352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101378680).

66914352 is an abundant number, since it is smaller than the sum of its proper divisors (135843008).

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

66914352 is a wasteful number, since it uses less digits than its factorization.

66914352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 722 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 66914352 is about 8180.1193145333. The cubic root of 66914352 is about 405.9816698431.

The spelling of 66914352 in words is "sixty-six million, nine hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 37 38 48 57 72 74 76 111 114 144 148 152 171 222 228 296 304 333 342 444 456 592 661 666 684 703 888 912 1322 1332 1368 1406 1776 1983 2109 2644 2664 2736 2812 3966 4218 5288 5328 5624 5949 6327 7932 8436 10576 11248 11898 12559 12654 15864 16872 23796 24457 25118 25308 31728 33744 37677 47592 48914 50236 50616 73371 75354 95184 97828 100472 101232 113031 146742 150708 195656 200944 220113 226062 293484 301416 391312 440226 452124 464683 586968 602832 880452 904248 929366 1173936 1394049 1760904 1808496 1858732 2788098 3521808 3717464 4182147 5576196 7434928 8364294 11152392 16728588 22304784 33457176 66914352