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61671896 = 231113313747
BaseRepresentation
bin1110101101000…
…0100111011000
311022001020221022
43223100213120
5111242000041
610041502012
71346126306
oct353204730
9138036838
1061671896
11318a3010
12187a1908
13ca13c60
148295276
15563324b
hex3ad09d8

61671896 has 128 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 23846400.

The previous prime is 61671889. The next prime is 61671899. The reversal of 61671896 is 69817616.

61671896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61671899) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1312145 + ... + 1312191.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 261671896 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 61671896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

61671896 is an abundant number, since it is smaller than the sum of its proper divisors (85415464).

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

61671896 is a wasteful number, since it uses less digits than its factorization.

61671896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 108864, while the sum is 44.

The square root of 61671896 is about 7853.1456117915. The cubic root of 61671896 is about 395.0897536789.

The spelling of 61671896 in words is "sixty-one million, six hundred seventy-one thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 22 26 31 37 44 47 52 62 74 88 94 104 124 143 148 188 248 286 296 341 376 403 407 481 517 572 611 682 806 814 962 1034 1144 1147 1222 1364 1457 1612 1628 1739 1924 2068 2294 2444 2728 2914 3224 3256 3478 3848 4136 4433 4588 4888 5291 5828 6721 6956 8866 9176 10582 11656 12617 13442 13912 14911 16027 17732 18941 19129 21164 22607 25234 26884 29822 32054 35464 37882 38258 42328 45214 50468 53768 53909 59644 64108 75764 76516 90428 100936 107818 119288 128216 151528 153032 164021 180856 208351 215636 248677 328042 416702 431272 497354 592999 656084 700817 833404 994708 1185998 1312168 1401634 1666808 1989416 2371996 2803268 4743992 5606536 7708987 15417974 30835948 61671896