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61445952 = 2637439
BaseRepresentation
bin1110101001100…
…1011101000000
311021121210000000
43222121131000
5111212232302
610033000000
71344165501
oct352313500
9137553000
1061445952
1131759287
12186b3000
13c965169
148236ba8
1555db31c
hex3a99740

61445952 has 112 divisors (see below), whose sum is σ = 183286400. Its totient is φ = 20435328.

The previous prime is 61445933. The next prime is 61445957. The reversal of 61445952 is 25954416.

61445952 is a `hidden beast` number, since 61 + 4 + 4 + 595 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61445957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139749 + ... + 140187.

Almost surely, 261445952 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 61445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91643200).

61445952 is an abundant number, since it is smaller than the sum of its proper divisors (121840448).

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

61445952 is an frugal number, since it uses more digits than its factorization.

61445952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 444 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 61445952 is about 7838.7468386216. The cubic root of 61445952 is about 394.6066735772.

The spelling of 61445952 in words is "sixty-one million, four hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 439 486 576 648 729 864 878 972 1296 1317 1458 1728 1756 1944 2187 2592 2634 2916 3512 3888 3951 4374 5184 5268 5832 7024 7776 7902 8748 10536 11664 11853 14048 15552 15804 17496 21072 23328 23706 28096 31608 34992 35559 42144 46656 47412 63216 69984 71118 84288 94824 106677 126432 139968 142236 189648 213354 252864 284472 320031 379296 426708 568944 640062 758592 853416 960093 1137888 1280124 1706832 1920186 2275776 2560248 3413664 3840372 5120496 6827328 7680744 10240992 15361488 20481984 30722976 61445952