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5625192432 = 2432367113673
BaseRepresentation
bin1010011110100100…
…11001111111110000
3112112000210101100110
411033102121333300
543010022124212
62330103221320
7256253226636
oct51722317760
915460711313
105625192432
112427302372
12110ba47840
136b8538142
143b5125356
1522dc9da3c
hex14f499ff0

5625192432 has 160 divisors (see below), whose sum is σ = 15549147648. Its totient is φ = 1748533248.

The previous prime is 5625192431. The next prime is 5625192439. The reversal of 5625192432 is 2342915265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5625192431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8358048 + ... + 8358720.

Almost surely, 25625192432 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 5625192432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774573824).

5625192432 is an abundant number, since it is smaller than the sum of its proper divisors (9923955216).

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

5625192432 is a wasteful number, since it uses less digits than its factorization.

5625192432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 5625192432 is about 75001.2828690283. The cubic root of 5625192432 is about 1778.4669323128.

The spelling of 5625192432 in words is "five billion, six hundred twenty-five million, one hundred ninety-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 67 69 92 113 134 138 184 201 226 268 276 339 368 402 452 536 552 673 678 804 904 1072 1104 1346 1356 1541 1608 1808 2019 2599 2692 2712 3082 3216 4038 4623 5198 5384 5424 6164 7571 7797 8076 9246 10396 10768 12328 15142 15479 15594 16152 18492 20792 22713 24656 30284 30958 31188 32304 36984 41584 45091 45426 46437 60568 61916 62376 73968 76049 90182 90852 92874 121136 123832 124752 135273 152098 174133 180364 181704 185748 228147 247664 270546 304196 348266 360728 363408 371496 456294 522399 541092 608392 696532 721456 742992 912588 1037093 1044798 1082184 1216784 1393064 1749127 1825176 2074186 2089596 2164368 2786128 3111279 3498254 3650352 4148372 4179192 5095283 5247381 6222558 6996508 8296744 8358384 10190566 10494762 12445116 13993016 15285849 16593488 20381132 20989524 24890232 27986032 30571698 40762264 41979048 49780464 61143396 81524528 83958096 117191509 122286792 234383018 244573584 351574527 468766036 703149054 937532072 1406298108 1875064144 2812596216 5625192432