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79938880 = 2657127281
BaseRepresentation
bin1001100001111…
…00010101000000
312120102022112021
410300330111000
5130431021010
611533211224
71660316650
oct460742500
9176368467
1079938880
114113a29a
1222930b14
131373b618
14a88c360
1570408da
hex4c3c540

79938880 has 112 divisors (see below), whose sum is σ = 220041216. Its totient is φ = 27095040.

The previous prime is 79938851. The next prime is 79938883. The reversal of 79938880 is 8883997.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79938883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284340 + ... + 284620.

Almost surely, 279938880 is an apocalyptic number.

79938880 is a gapful number since it is divisible by the number (70) 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 79938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110020608).

79938880 is an abundant number, since it is smaller than the sum of its proper divisors (140102336).

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

79938880 is a wasteful number, since it uses less digits than its factorization.

79938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 79938880 is about 8940.8545452882. The cubic root of 79938880 is about 430.7771775091. Note that the first 3 decimals are identical.

The spelling of 79938880 in words is "seventy-nine million, nine hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 140 160 224 254 280 281 320 448 508 560 562 635 889 1016 1120 1124 1270 1405 1778 1967 2032 2240 2248 2540 2810 3556 3934 4064 4445 4496 5080 5620 7112 7868 8128 8890 8992 9835 10160 11240 14224 15736 17780 17984 19670 20320 22480 28448 31472 35560 35687 39340 40640 44960 56896 62944 71120 71374 78680 89920 125888 142240 142748 157360 178435 249809 284480 285496 314720 356870 499618 570992 629440 713740 999236 1141984 1249045 1427480 1998472 2283968 2498090 2854960 3996944 4996180 5709920 7993888 9992360 11419840 15987776 19984720 39969440 79938880