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5436257088 = 26346361153
BaseRepresentation
bin1010001000000011…
…01011001101000000
3112000212021110210010
411010001223031000
542113140211323
62255233504520
7251500265013
oct50401531500
915025243703
105436257088
11233a697459
121078712140
13688356192
14397dc337a
1521c3ccc93
hex14406b340

5436257088 has 56 divisors (see below), whose sum is σ = 14414731648. Its totient is φ = 1808142336.

The previous prime is 5436257053. The next prime is 5436257119. The reversal of 5436257088 is 8807526345.

It is a super-2 number, since 2×54362570882 = 59105782253660479488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58320 + ... + 119472.

Almost surely, 25436257088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5436257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207365824).

5436257088 is an abundant number, since it is smaller than the sum of its proper divisors (8978474560).

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

5436257088 is a wasteful number, since it uses less digits than its factorization.

5436257088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61631 (or 61621 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 5436257088 is about 73730.9778044480. The cubic root of 5436257088 is about 1758.3284197872.

The spelling of 5436257088 in words is "five billion, four hundred thirty-six million, two hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 463 926 1389 1852 2778 3704 5556 7408 11112 14816 22224 29632 44448 61153 88896 122306 183459 244612 366918 489224 733836 978448 1467672 1956896 2935344 3913792 5870688 11741376 28313839 56627678 84941517 113255356 169883034 226510712 339766068 453021424 679532136 906042848 1359064272 1812085696 2718128544 5436257088