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88942080 = 293537313
BaseRepresentation
bin1010100110100…
…10011000000000
320012100201121010
411103102120000
5140232121310
612454200520
72126665233
oct523223000
9205321533
1088942080
1146229557
1225953140
1315571566
14bb5341a
157c1d320
hex54d2600

88942080 has 160 divisors (see below), whose sum is σ = 292954464. Its totient is φ = 23003136.

The previous prime is 88942067. The next prime is 88942093. The reversal of 88942080 is 8024988.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88942067) and next prime (88942093).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284004 + ... + 284316.

Almost surely, 288942080 is an apocalyptic number.

88942080 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 88942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146477232).

88942080 is an abundant number, since it is smaller than the sum of its proper divisors (204012384).

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

88942080 is a wasteful number, since it uses less digits than its factorization.

88942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 88942080 is about 9430.9108785949. The cubic root of 88942080 is about 446.3776353436.

The spelling of 88942080 in words is "eighty-eight million, nine hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 313 320 370 384 444 480 512 555 592 626 640 740 768 888 939 960 1110 1184 1252 1280 1480 1536 1565 1776 1878 1920 2220 2368 2504 2560 2960 3130 3552 3756 3840 4440 4695 4736 5008 5920 6260 7104 7512 7680 8880 9390 9472 10016 11581 11840 12520 14208 15024 17760 18780 18944 20032 23162 23680 25040 28416 30048 34743 35520 37560 40064 46324 47360 50080 56832 57905 60096 69486 71040 75120 80128 92648 94720 100160 115810 120192 138972 142080 150240 160256 173715 185296 200320 231620 240384 277944 284160 300480 347430 370592 400640 463240 480768 555888 600960 694860 741184 801280 926480 1111776 1201920 1389720 1482368 1852960 2223552 2403840 2779440 2964736 3705920 4447104 5558880 5929472 7411840 8894208 11117760 14823680 17788416 22235520 29647360 44471040 88942080