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88426464 = 2537181727
BaseRepresentation
bin1010100010101…
…00011111100000
320011101112022020
411101110133200
5140114121324
612435141440
72122420050
oct521243740
9204345266
1088426464
1145a07125
1225744880
1315420969
14ba5b560
157b6a679
hex54547e0

88426464 has 96 divisors (see below), whose sum is σ = 267111936. Its totient is φ = 25090560.

The previous prime is 88426439. The next prime is 88426489. The reversal of 88426464 is 46462488.

It is an interprime number because it is at equal distance from previous prime (88426439) and next prime (88426489).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 121269 + ... + 121995.

It is an arithmetic number, because the mean of its divisors is an integer number (2782416).

Almost surely, 288426464 is an apocalyptic number.

88426464 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 88426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133555968).

88426464 is an abundant number, since it is smaller than the sum of its proper divisors (178685472).

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

88426464 is a wasteful number, since it uses less digits than its factorization.

88426464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 88426464 is about 9403.5346545860. The cubic root of 88426464 is about 445.5133813266.

The spelling of 88426464 in words is "eighty-eight million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 181 224 336 362 543 672 724 727 1086 1267 1448 1454 2172 2181 2534 2896 2908 3801 4344 4362 5068 5089 5792 5816 7602 8688 8724 10136 10178 11632 15204 15267 17376 17448 20272 20356 23264 30408 30534 34896 40544 40712 60816 61068 69792 81424 121632 122136 131587 162848 244272 263174 394761 488544 526348 789522 921109 1052696 1579044 1842218 2105392 2763327 3158088 3684436 4210784 5526654 6316176 7368872 11053308 12632352 14737744 22106616 29475488 44213232 88426464