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255157992 = 23331979787
BaseRepresentation
bin11110011010101…
…10011011101000
3122210010100222000
433031112123220
51010310023432
641152531000
76215543565
oct1715263350
9583110860
10255157992
11121036a81
1271550a60
1340b2a37b
1425c5d86c
151760257c
hexf3566e8

255157992 has 128 divisors (see below), whose sum is σ = 756480000. Its totient is φ = 79455168.

The previous prime is 255157963. The next prime is 255157997. The reversal of 255157992 is 299751552.

255157992 is a `hidden beast` number, since 2 + 551 + 5 + 7 + 9 + 92 = 666.

Its product of digits (283500) is a multiple of the sum of its prime factors (900).

It is not an unprimeable number, because it can be changed into a prime (255157997) 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, 323823 + ... + 324609.

It is an arithmetic number, because the mean of its divisors is an integer number (5910000).

Almost surely, 2255157992 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 255157992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378240000).

255157992 is an abundant number, since it is smaller than the sum of its proper divisors (501322008).

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

255157992 is a wasteful number, since it uses less digits than its factorization.

255157992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 890 counting only the distinct ones).

The product of its digits is 283500, while the sum is 45.

The square root of 255157992 is about 15973.6655780694. The cubic root of 255157992 is about 634.2635080403.

The spelling of 255157992 in words is "two hundred fifty-five million, one hundred fifty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 108 114 152 158 171 216 228 237 316 342 456 474 513 632 684 711 787 948 1026 1368 1422 1501 1574 1896 2052 2133 2361 2844 3002 3148 4104 4266 4503 4722 5688 6004 6296 7083 8532 9006 9444 12008 13509 14166 14953 17064 18012 18888 21249 27018 28332 29906 36024 40527 42498 44859 54036 56664 59812 62173 81054 84996 89718 108072 119624 124346 134577 162108 169992 179436 186519 248692 269154 324216 358872 373038 403731 497384 538308 559557 746076 807462 1076616 1119114 1181287 1492152 1614924 1678671 2238228 2362574 3229848 3357342 3543861 4476456 4725148 6714684 7087722 9450296 10631583 13429368 14175444 21263166 28350888 31894749 42526332 63789498 85052664 127578996 255157992