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61905424 = 24722812
BaseRepresentation
bin1110110000100…
…1101000010000
311022111010021111
43230021220100
5111321433144
610050503104
71351121200
oct354115020
9138433244
1061905424
1131a42509
1218894a94
13ca96339
148316400
15567c534
hex3b09a10

61905424 has 45 divisors (see below), whose sum is σ = 140022381. Its totient is φ = 26436480.

The previous prime is 61905409. The next prime is 61905433. The reversal of 61905424 is 42450916.

The square root of 61905424 is 7868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 20070400 = 6468^2 + 4480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 220164 + ... + 220444.

Almost surely, 261905424 is an apocalyptic number.

61905424 is the 7868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61905424

61905424 is an abundant number, since it is smaller than the sum of its proper divisors (78116957).

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

61905424 is an equidigital number, since it uses as much as digits as its factorization.

61905424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 61905424 is about 395.5878104031.

The spelling of 61905424 in words is "sixty-one million, nine hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 281 392 562 784 1124 1967 2248 3934 4496 7868 13769 15736 27538 31472 55076 78961 110152 157922 220304 315844 552727 631688 1105454 1263376 2210908 3869089 4421816 7738178 8843632 15476356 30952712 61905424