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88379424 = 253474871
BaseRepresentation
bin1010100010010…
…01000000100000
320011022010210000
411101021000200
5140111120144
612434140000
72122132650
oct521110040
9204263700
1088379424
1145984851
1225721600
1315405423
14ba48360
157b5b769
hex5449020

88379424 has 120 divisors (see below), whose sum is σ = 297114048. Its totient is φ = 25246080.

The previous prime is 88379407. The next prime is 88379429. The reversal of 88379424 is 42497388.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 88379424.

It is not an unprimeable number, because it can be changed into a prime (88379429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15709 + ... + 20579.

Almost surely, 288379424 is an apocalyptic number.

88379424 is a gapful number since it is divisible by the number (84) 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 88379424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148557024).

88379424 is an abundant number, since it is smaller than the sum of its proper divisors (208734624).

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

88379424 is a wasteful number, since it uses less digits than its factorization.

88379424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4883 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 88379424 is about 9401.0331347145. The cubic root of 88379424 is about 445.4343677758.

The spelling of 88379424 in words is "eighty-eight million, three hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 4871 6048 9072 9742 14613 18144 19484 29226 34097 38968 43839 58452 68194 77936 87678 102291 116904 131517 136388 155872 175356 204582 233808 263034 272776 306873 350712 394551 409164 467616 526068 545552 613746 701424 789102 818328 920619 1052136 1091104 1227492 1402848 1578204 1636656 1841238 2104272 2454984 2761857 3156408 3273312 3682476 4208544 4909968 5523714 6312816 7364952 9819936 11047428 12625632 14729904 22094856 29459808 44189712 88379424