Search a number
-
+
72479022 = 23711592659
BaseRepresentation
bin1000101000111…
…11000100101110
312001101022112020
410110133010232
5122023312042
611105251010
71540030050
oct424370456
9161338466
1072479022
1137a04620
1220333a66
1312028cc5
1498a98d0
15656a3ec
hex451f12e

72479022 has 64 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 18499680.

The previous prime is 72479009. The next prime is 72479047. The reversal of 72479022 is 22097427.

It is a super-4 number, since 4×724790224 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25929 + ... + 28587.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 272479022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72479022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

72479022 is an abundant number, since it is smaller than the sum of its proper divisors (111380178).

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

72479022 is a wasteful number, since it uses less digits than its factorization.

72479022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72479022 is about 8513.4612232628. The cubic root of 72479022 is about 416.9373241666.

The spelling of 72479022 in words is "seventy-two million, four hundred seventy-nine thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 649 826 1239 1298 1947 2478 2659 3894 4543 5318 7977 9086 13629 15954 18613 27258 29249 37226 55839 58498 87747 111678 156881 175494 204743 313762 409486 470643 614229 941286 1098167 1228458 1725691 2196334 3294501 3451382 5177073 6589002 10354146 12079837 24159674 36239511 72479022