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192049872 = 24371967449
BaseRepresentation
bin10110111001001…
…11001011010000
3111101101010220020
423130213023100
5343131043442
631020143440
74521253110
oct1334471320
9441333806
10192049872
1199452a03
1254397b80
1330a327a1
141b713040
1511cd89ec
hexb7272d0

192049872 has 160 divisors (see below), whose sum is σ = 607104000. Its totient is φ = 51093504.

The previous prime is 192049859. The next prime is 192049877. The reversal of 192049872 is 278940291.

192049872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192049877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427504 + ... + 427952.

It is an arithmetic number, because the mean of its divisors is an integer number (3794400).

Almost surely, 2192049872 is an apocalyptic number.

192049872 is a gapful number since it is divisible by the number (12) 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 192049872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552000).

192049872 is an abundant number, since it is smaller than the sum of its proper divisors (415054128).

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

192049872 is a wasteful number, since it uses less digits than its factorization.

192049872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 192049872 is about 13858.2059444937. The cubic root of 192049872 is about 576.9497737089.

The spelling of 192049872 in words is "one hundred ninety-two million, forty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 67 76 84 112 114 133 134 152 168 201 228 266 268 304 336 399 402 449 456 469 532 536 798 804 898 912 938 1064 1072 1273 1347 1407 1596 1608 1796 1876 2128 2546 2694 2814 3143 3192 3216 3592 3752 3819 5092 5388 5628 6286 6384 7184 7504 7638 8531 8911 9429 10184 10776 11256 12572 15276 17062 17822 18858 20368 21552 22512 25144 25593 26733 30083 30552 34124 35644 37716 50288 51186 53466 59717 60166 61104 68248 71288 75432 90249 102372 106932 119434 120332 136496 142576 150864 179151 180498 204744 210581 213864 238868 240664 358302 360996 409488 421162 427728 477736 481328 571577 631743 716604 721992 842324 955472 1143154 1263486 1433208 1443984 1684648 1714731 2286308 2526972 2866416 3369296 3429462 4001039 4572616 5053944 6858924 8002078 9145232 10107888 12003117 13717848 16004156 24006234 27435696 32008312 48012468 64016624 96024936 192049872