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61612992 = 2632723759
BaseRepresentation
bin1110101100001…
…0001111000000
311021221021010200
43223002033000
5111233103432
610040325200
71345462500
oct353021700
9137837120
1061612992
1131862831
1218773800
13c9c31bc
14827ba00
155620a7c
hex3ac23c0

61612992 has 252 divisors, whose sum is σ = 214563960. Its totient is φ = 16837632.

The previous prime is 61612951. The next prime is 61612997. The reversal of 61612992 is 29921616.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (11664) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61612997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1044259 + ... + 1044317.

It is a vampire number, since it can be written as 62169912 (with its own digits).

Almost surely, 261612992 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 61612992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107281980).

61612992 is an abundant number, since it is smaller than the sum of its proper divisors (152950968).

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

61612992 is a wasteful number, since it uses less digits than its factorization.

61612992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 61612992 is about 7849.3943715423. The cubic root of 61612992 is about 394.9639276999.

The spelling of 61612992 in words is "sixty-one million, six hundred twelve thousand, nine hundred ninety-two".