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45768156 = 22372277281
BaseRepresentation
bin1010111010010…
…1110111011100
310012010021002220
42232211313130
543204040111
64312545340
71064010600
oct256456734
9105107086
1045768156
1123920325
12133b2250
139636165
146115500
154040e06
hex2ba5ddc

45768156 has 72 divisors (see below), whose sum is σ = 125120016. Its totient is φ = 12983040.

The previous prime is 45768139. The next prime is 45768167. The reversal of 45768156 is 65186754.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162736 + ... + 163016.

It is an arithmetic number, because the mean of its divisors is an integer number (1737778).

Almost surely, 245768156 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 45768156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62560008).

45768156 is an abundant number, since it is smaller than the sum of its proper divisors (79351860).

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

45768156 is a wasteful number, since it uses less digits than its factorization.

45768156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 45768156 is about 6765.2166262434. The cubic root of 45768156 is about 357.7018105180.

The spelling of 45768156 in words is "forty-five million, seven hundred sixty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 277 281 294 554 562 588 831 843 1108 1124 1662 1686 1939 1967 3324 3372 3878 3934 5817 5901 7756 7868 11634 11802 13573 13769 23268 23604 27146 27538 40719 41307 54292 55076 77837 81438 82614 155674 162876 165228 233511 311348 467022 544859 934044 1089718 1634577 2179436 3269154 3814013 6538308 7628026 11442039 15256052 22884078 45768156