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88422480 = 24325127967
BaseRepresentation
bin1010100010100…
…11100001010000
320011101022211200
411101103201100
5140114004410
612435111200
72122402326
oct521234120
9204338750
1088422480
1145a04133
1225742500
131541bbc3
14ba59d16
157b693c0
hex5453850

88422480 has 120 divisors (see below), whose sum is σ = 299599872. Its totient is φ = 23369472.

The previous prime is 88422461. The next prime is 88422493. The reversal of 88422480 is 8422488.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90957 + ... + 91923.

Almost surely, 288422480 is an apocalyptic number.

88422480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149799936).

88422480 is an abundant number, since it is smaller than the sum of its proper divisors (211177392).

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

88422480 is a wasteful number, since it uses less digits than its factorization.

88422480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 88422480 is about 9403.3228169621. The cubic root of 88422480 is about 445.5066904489.

The spelling of 88422480 in words is "eighty-eight million, four hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 360 381 508 635 720 762 967 1016 1143 1270 1524 1905 1934 2032 2286 2540 2901 3048 3810 3868 4572 4835 5080 5715 5802 6096 7620 7736 8703 9144 9670 10160 11430 11604 14505 15240 15472 17406 18288 19340 22860 23208 29010 30480 34812 38680 43515 45720 46416 58020 69624 77360 87030 91440 116040 122809 139248 174060 232080 245618 348120 368427 491236 614045 696240 736854 982472 1105281 1228090 1473708 1842135 1964944 2210562 2456180 2947416 3684270 4421124 4912360 5526405 5894832 7368540 8842248 9824720 11052810 14737080 17684496 22105620 29474160 44211240 88422480