Search a number
-
+
153748056 = 233711271307
BaseRepresentation
bin10010010101000…
…00001001011000
3101201022012200110
421022200021120
5303324414211
623131204320
73544560030
oct1112401130
9351265613
10153748056
1179872210
12435a66a0
1325b11ba7
14165c28c0
15d76eea6
hex92a0258

153748056 has 128 divisors (see below), whose sum is σ = 482549760. Its totient is φ = 39657600.

The previous prime is 153748043. The next prime is 153748093. The reversal of 153748056 is 650847351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500655 + ... + 500961.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2153748056 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 153748056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241274880).

153748056 is an abundant number, since it is smaller than the sum of its proper divisors (328801704).

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

153748056 is a wasteful number, since it uses less digits than its factorization.

153748056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 153748056 is about 12399.5183777435. The cubic root of 153748056 is about 535.7183769694.

The spelling of 153748056 in words is "one hundred fifty-three million, seven hundred forty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 271 307 308 462 542 614 616 813 921 924 1084 1228 1626 1842 1848 1897 2149 2168 2456 2981 3252 3377 3684 3794 4298 5691 5962 6447 6504 6754 7368 7588 8596 8943 10131 11382 11924 12894 13508 15176 17192 17886 20262 20867 22764 23639 23848 25788 27016 35772 40524 41734 45528 47278 51576 62601 70917 71544 81048 83197 83468 94556 125202 141834 166394 166936 189112 249591 250404 283668 332788 499182 500808 567336 582379 665576 915167 998364 1164758 1747137 1830334 1996728 2329516 2745501 3494274 3660668 4659032 5491002 6406169 6988548 7321336 10982004 12812338 13977096 19218507 21964008 25624676 38437014 51249352 76874028 153748056