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61382952 = 233223101367
BaseRepresentation
bin1110101000101…
…0000100101000
311021111120120200
43222022010220
5111203223302
610031352200
71343514021
oct352120450
9137446520
1061382952
1131715a14
1218682660
13c942597
14821bc48
1555c781c
hex3a8a128

61382952 has 96 divisors (see below), whose sum is σ = 175668480. Its totient is φ = 19324800.

The previous prime is 61382927. The next prime is 61382969. The reversal of 61382952 is 25928316.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167073 + ... + 167439.

It is an arithmetic number, because the mean of its divisors is an integer number (1829880).

Almost surely, 261382952 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 61382952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87834240).

61382952 is an abundant number, since it is smaller than the sum of its proper divisors (114285528).

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

61382952 is a wasteful number, since it uses less digits than its factorization.

61382952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 496 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 61382952 is about 7834.7273085922. The cubic root of 61382952 is about 394.4717651967.

The spelling of 61382952 in words is "sixty-one million, three hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 101 138 184 202 207 276 303 367 404 414 552 606 734 808 828 909 1101 1212 1468 1656 1818 2202 2323 2424 2936 3303 3636 4404 4646 6606 6969 7272 8441 8808 9292 13212 13938 16882 18584 20907 25323 26424 27876 33764 37067 41814 50646 55752 67528 74134 75969 83628 101292 111201 148268 151938 167256 202584 222402 296536 303876 333603 444804 607752 667206 852541 889608 1334412 1705082 2557623 2668824 3410164 5115246 6820328 7672869 10230492 15345738 20460984 30691476 61382952