Search a number
-
+
48000792 = 2337617
BaseRepresentation
bin1011011100011…
…0111100011000
310100022200201010
42313012330120
544242011132
64432453520
71122000000
oct267067430
9110280633
1048000792
1125105784
12140aa2a0
139c38448
146537000
1543326cc
hex2dc6f18

48000792 has 112 divisors (see below), whose sum is σ = 148237560. Its totient is φ = 12907776.

The previous prime is 48000779. The next prime is 48000811. The reversal of 48000792 is 29700084.

48000792 is a modest number, since divided by 792 gives 48 as remainder.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2823568 + ... + 2823584.

Almost surely, 248000792 is an apocalyptic number.

48000792 is a gapful number since it is divisible by the number (42) 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 48000792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74118780).

48000792 is an abundant number, since it is smaller than the sum of its proper divisors (100236768).

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

48000792 is an frugal number, since it uses more digits than its factorization.

48000792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 48000792 is about 6928.2603877164. The cubic root of 48000792 is about 363.4261173881.

The spelling of 48000792 in words is "forty-eight million, seven hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 343 357 392 408 476 588 686 714 833 952 1029 1176 1372 1428 1666 2058 2401 2499 2744 2856 3332 4116 4802 4998 5831 6664 7203 8232 9604 9996 11662 14406 16807 17493 19208 19992 23324 28812 33614 34986 40817 46648 50421 57624 67228 69972 81634 100842 117649 122451 134456 139944 163268 201684 235298 244902 285719 326536 352947 403368 470596 489804 571438 705894 857157 941192 979608 1142876 1411788 1714314 2000033 2285752 2823576 3428628 4000066 6000099 6857256 8000132 12000198 16000264 24000396 48000792