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87746472 = 233211234817
BaseRepresentation
bin1010011101011…
…10011110101000
320010002222112100
411032232132220
5134430341342
612412413400
72113555422
oct516563650
9203088470
1087746472
1145592250
1225477260
13152432b8
14b921812
157a83e4c
hex53ae7a8

87746472 has 96 divisors (see below), whose sum is σ = 270578880. Its totient is φ = 25428480.

The previous prime is 87746471. The next prime is 87746507. The reversal of 87746472 is 27464778.

It is not an unprimeable number, because it can be changed into a prime (87746471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15808 + ... + 20624.

It is an arithmetic number, because the mean of its divisors is an integer number (2818530).

Almost surely, 287746472 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 87746472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135289440).

87746472 is an abundant number, since it is smaller than the sum of its proper divisors (182832408).

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

87746472 is a wasteful number, since it uses less digits than its factorization.

87746472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4856 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 87746472 is about 9367.3086849959. The cubic root of 87746472 is about 444.3684548046.

The spelling of 87746472 in words is "eighty-seven million, seven hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 3036 4554 4817 6072 9108 9634 14451 18216 19268 28902 38536 43353 52987 57804 86706 105974 110791 115608 158961 173412 211948 221582 317922 332373 346824 423896 443164 476883 635844 664746 886328 953766 997119 1218701 1271688 1329492 1907532 1994238 2437402 2658984 3656103 3815064 3988476 4874804 7312206 7976952 9749608 10968309 14624412 21936618 29248824 43873236 87746472