Search a number
-
+
190447872 = 2831729503
BaseRepresentation
bin10110101101000…
…00000100000000
3111021100202100220
423112200010000
5342223312442
630521543040
74501531416
oct1326400400
9437322326
10190447872
119855933a
1253944a80
13305c1564
141b4172b6
1511abdeec
hexb5a0100

190447872 has 144 divisors (see below), whose sum is σ = 556295040. Its totient is φ = 57573376.

The previous prime is 190447871. The next prime is 190447877. The reversal of 190447872 is 278744091.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (190447871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378373 + ... + 378875.

It is an arithmetic number, because the mean of its divisors is an integer number (3863160).

Almost surely, 2190447872 is an apocalyptic number.

190447872 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 190447872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147520).

190447872 is an abundant number, since it is smaller than the sum of its proper divisors (365847168).

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

190447872 is a wasteful number, since it uses less digits than its factorization.

190447872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 190447872 is about 13800.2852144439. The cubic root of 190447872 is about 575.3410674694.

The spelling of 190447872 in words is "one hundred ninety million, four hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 256 272 348 384 408 464 493 503 544 696 768 816 928 986 1006 1088 1392 1479 1509 1632 1856 1972 2012 2176 2784 2958 3018 3264 3712 3944 4024 4352 5568 5916 6036 6528 7424 7888 8048 8551 11136 11832 12072 13056 14587 15776 16096 17102 22272 23664 24144 25653 29174 31552 32192 34204 43761 47328 48288 51306 58348 63104 64384 68408 87522 94656 96576 102612 116696 126208 128768 136816 175044 189312 193152 205224 233392 247979 273632 350088 378624 386304 410448 466784 495958 547264 700176 743937 820896 933568 991916 1094528 1400352 1487874 1641792 1867136 1983832 2189056 2800704 2975748 3283584 3734272 3967664 5601408 5951496 6567168 7935328 11202816 11902992 15870656 23805984 31741312 47611968 63482624 95223936 190447872