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5676972 = 2237193557
BaseRepresentation
bin10101101001111110101100
3101200102100020
4111221332230
52423130342
6321402140
766152640
oct25517654
911612306
105676972
113228214
121a99350
131239c72
14a7ac20
157720ec
hex569fac

5676972 has 48 divisors (see below), whose sum is σ = 15939840. Its totient is φ = 1536192.

The previous prime is 5676961. The next prime is 5676973. The reversal of 5676972 is 2796765.

It is a happy number.

It is a super-2 number, since 2×56769722 = 64456022177568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (5676973) 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, 183 + ... + 3374.

It is an arithmetic number, because the mean of its divisors is an integer number (332080).

Almost surely, 25676972 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 5676972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969920).

5676972 is an abundant number, since it is smaller than the sum of its proper divisors (10262868).

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

5676972 is a wasteful number, since it uses less digits than its factorization.

5676972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3588 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 5676972 is about 2382.6397125877. The cubic root of 5676972 is about 178.3907168717.

It can be divided in two parts, 56 and 76972, that added together give a triangular number (77028 = T392).

The spelling of 5676972 in words is "five million, six hundred seventy-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 3557 7114 10671 14228 21342 24899 42684 49798 67583 74697 99596 135166 149394 202749 270332 298788 405498 473081 810996 946162 1419243 1892324 2838486 5676972