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5914272 = 253713677
BaseRepresentation
bin10110100011111010100000
3102010110212010
4112203322200
53003224042
6330432520
7101161530
oct26437240
912113763
105914272
11337a531
121b92740
1312c0c90
14add4c0
157bc59c
hex5a3ea0

5914272 has 96 divisors (see below), whose sum is σ = 19135872. Its totient is φ = 1557504.

The previous prime is 5914267. The next prime is 5914277. The reversal of 5914272 is 2724195.

It is an interprime number because it is at equal distance from previous prime (5914267) and next prime (5914277).

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

It is a super-2 number, since 2×59142722 = 69957226579968, which contains 22 as substring.

It is a d-powerful number, because it can be written as 57 + 95 + 1 + 46 + 23 + 78 + 213 .

It is not an unprimeable number, because it can be changed into a prime (5914277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8398 + ... + 9074.

It is an arithmetic number, because the mean of its divisors is an integer number (199332).

Almost surely, 25914272 is an apocalyptic number.

5914272 is a gapful number since it is divisible by the number (52) 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 5914272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9567936).

5914272 is an abundant number, since it is smaller than the sum of its proper divisors (13221600).

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

5914272 is a wasteful number, since it uses less digits than its factorization.

5914272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 5914272 is about 2431.9276305022. The cubic root of 5914272 is about 180.8424705094.

The spelling of 5914272 in words is "five million, nine hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 677 728 1092 1248 1354 1456 2031 2184 2708 2912 4062 4368 4739 5416 8124 8736 8801 9478 10832 14217 16248 17602 18956 21664 26403 28434 32496 35204 37912 52806 56868 61607 64992 70408 75824 105612 113736 123214 140816 151648 184821 211224 227472 246428 281632 369642 422448 454944 492856 739284 844896 985712 1478568 1971424 2957136 5914272