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77490072 = 23321197841
BaseRepresentation
bin1001001111001…
…10011110011000
312101210220101200
410213212132120
5124314140242
611404514200
71630440402
oct447463630
9171726350
1077490072
113a817490
1221b4b960
1313091b1a
14a411b72
156c0a04c
hex49e6798

77490072 has 48 divisors (see below), whose sum is σ = 228950280. Its totient is φ = 23481600.

The previous prime is 77490071. The next prime is 77490103. The reversal of 77490072 is 27009477.

It is a super-2 number, since 2×774900722 = 12009422517130368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77490071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48129 + ... + 49712.

Almost surely, 277490072 is an apocalyptic number.

77490072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77490072 is an abundant number, since it is smaller than the sum of its proper divisors (151460208).

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

77490072 is a wasteful number, since it uses less digits than its factorization.

77490072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97864 (or 97857 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 77490072 is about 8802.8445402608. The cubic root of 77490072 is about 426.3327427427.

The spelling of 77490072 in words is "seventy-seven million, four hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 97841 195682 293523 391364 587046 782728 880569 1076251 1174092 1761138 2152502 2348184 3228753 3522276 4305004 6457506 7044552 8610008 9686259 12915012 19372518 25830024 38745036 77490072