Search a number
-
+
5377320432 = 243411377197
BaseRepresentation
bin1010000001000001…
…10110010111110000
3111212202101011220000
411000200312113300
542003043223212
62245330350000
7250153320021
oct50040662760
914782334800
105377320432
11230a3a2480
121060a2b300
1367908c213
14390240c48
1521713a1dc
hex1408365f0

5377320432 has 100 divisors (see below), whose sum is σ = 16978436376. Its totient is φ = 1629486720.

The previous prime is 5377320407. The next prime is 5377320433. The reversal of 5377320432 is 2340237735.

5377320432 is a `hidden beast` number, since 537 + 73 + 20 + 4 + 32 = 666.

It is a super-4 number, since 4×53773204324 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5377320433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174343 + ... + 202854.

Almost surely, 25377320432 is an apocalyptic number.

It is an amenable number.

5377320432 is an abundant number, since it is smaller than the sum of its proper divisors (11601115944).

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

5377320432 is a wasteful number, since it uses less digits than its factorization.

5377320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377228 (or 377213 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 5377320432 is about 73330.2150003667. The cubic root of 5377320432 is about 1751.9510682525.

The spelling of 5377320432 in words is "five billion, three hundred seventy-seven million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 377197 754394 1131591 1508788 2263182 3017576 3394773 4149167 4526364 6035152 6789546 8298334 9052728 10184319 12447501 13579092 16596668 18105456 20368638 24895002 27158184 30552957 33193336 37342503 40737276 49790004 54316368 61105914 66386672 74685006 81474552 99580008 112027509 122211828 149370012 162949104 199160016 224055018 244423656 298740024 336082527 448110036 488847312 597480048 672165054 896220072 1344330108 1792440144 2688660216 5377320432