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45192048 = 24311231251
BaseRepresentation
bin1010110001100…
…1001101110000
310011000222211120
42230121031300
543032121143
64252342240
71056061146
oct254311560
9104028746
1045192048
1123567500
1213174980
139493b75
146005596
153e7a383
hex2b19370

45192048 has 120 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 13200000.

The previous prime is 45192031. The next prime is 45192071. The reversal of 45192048 is 84029154.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 179923 + ... + 180173.

Almost surely, 245192048 is an apocalyptic number.

45192048 is a gapful number since it is divisible by the number (48) 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 45192048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

45192048 is an abundant number, since it is smaller than the sum of its proper divisors (87799440).

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

45192048 is a wasteful number, since it uses less digits than its factorization.

45192048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 45192048 is about 6722.5031052429. The cubic root of 45192048 is about 356.1946080698.

The spelling of 45192048 in words is "forty-five million, one hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 121 124 132 176 186 242 248 251 264 341 363 372 484 496 502 528 682 726 744 753 968 1004 1023 1364 1452 1488 1506 1936 2008 2046 2728 2761 2904 3012 3751 4016 4092 5456 5522 5808 6024 7502 7781 8184 8283 11044 11253 12048 15004 15562 16368 16566 22088 22506 23343 30008 30371 31124 33132 44176 45012 46686 60016 60742 62248 66264 85591 90024 91113 93372 121484 124496 132528 171182 180048 182226 186744 242968 256773 342364 364452 373488 485936 513546 684728 728904 941501 1027092 1369456 1457808 1883002 2054184 2824503 3766004 4108368 5649006 7532008 11298012 15064016 22596024 45192048