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246157056 = 28361319
BaseRepresentation
bin11101010110000…
…00111100000000
3122011012002000000
432223000330000
51001004011211
640232000000
76046205025
oct1653007400
9564162000
10246157056
11116a49492
126a530000
133bcc8482
142499954c
1516925656
hexeac0f00

246157056 has 126 divisors (see below), whose sum is σ = 737250360. Its totient is φ = 81990144.

The previous prime is 246157049. The next prime is 246157097. The reversal of 246157056 is 650751642.

It is a happy number.

246157056 is a `hidden beast` number, since 24 + 61 + 570 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 246157056.

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 13 ways as a sum of consecutive naturals, for example, 185965 + ... + 187283.

Almost surely, 2246157056 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 246157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368625180).

246157056 is an abundant number, since it is smaller than the sum of its proper divisors (491093304).

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

246157056 is an frugal number, since it uses more digits than its factorization.

246157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 246157056 is about 15689.3931048973. The cubic root of 246157056 is about 626.7159721781.

The spelling of 246157056 in words is "two hundred forty-six million, one hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1319 1458 1728 1944 2304 2592 2638 2916 3456 3888 3957 5184 5276 5832 6912 7776 7914 10368 10552 11664 11871 15552 15828 20736 21104 23328 23742 31104 31656 35613 42208 46656 47484 62208 63312 71226 84416 93312 94968 106839 126624 142452 168832 186624 189936 213678 253248 284904 320517 337664 379872 427356 506496 569808 641034 759744 854712 961551 1012992 1139616 1282068 1519488 1709424 1923102 2279232 2564136 3038976 3418848 3846204 4558464 5128272 6837696 7692408 9116928 10256544 13675392 15384816 20513088 27350784 30769632 41026176 61539264 82052352 123078528 246157056