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87274044 = 223311135651
BaseRepresentation
bin1010011001110…
…11001000111100
320002012222111000
411030323020330
5134320232134
612354330300
72106550164
oct514731074
9202188430
1087274044
114529a310
1225289990
1315109260
14b83b5a4
1579dde99
hex533b23c

87274044 has 96 divisors (see below), whose sum is σ = 265870080. Its totient is φ = 24408000.

The previous prime is 87274043. The next prime is 87274051. The reversal of 87274044 is 44047278.

It is a super-2 number, since 2×872740442 = 15233517512227872, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87274043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12619 + ... + 18269.

It is an arithmetic number, because the mean of its divisors is an integer number (2769480).

Almost surely, 287274044 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 87274044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132935040).

87274044 is an abundant number, since it is smaller than the sum of its proper divisors (178596036).

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

87274044 is a wasteful number, since it uses less digits than its factorization.

87274044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 87274044 is about 9342.0578032894. The cubic root of 87274044 is about 443.5695243348.

The spelling of 87274044 in words is "eighty-seven million, two hundred seventy-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 5651 7722 11302 15444 16953 22604 33906 50859 62161 67812 73463 101718 124322 146926 152577 186483 203436 220389 248644 293852 305154 372966 440778 559449 610308 661167 745932 808093 881556 1118898 1322334 1616186 1678347 1983501 2237796 2424279 2644668 3232372 3356694 3967002 4848558 6713388 7272837 7934004 9697116 14545674 21818511 29091348 43637022 87274044