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48758976 = 2633729139
BaseRepresentation
bin1011101000000…
…0000011000000
310101202012202000
42322000003000
544440241401
64501024000
71131305310
oct272000300
9111665660
1048758976
1125583382
12143b5000
13a142586
146693440
154432186
hex2e800c0

48758976 has 224 divisors, whose sum is σ = 170688000. Its totient is φ = 13353984.

The previous prime is 48758971. The next prime is 48758981. The reversal of 48758976 is 67985784.

It is an interprime number because it is at equal distance from previous prime (48758971) and next prime (48758981).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3386880) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48758971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350715 + ... + 350853.

It is an arithmetic number, because the mean of its divisors is an integer number (762000).

Almost surely, 248758976 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 48758976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344000).

48758976 is an abundant number, since it is smaller than the sum of its proper divisors (121929024).

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

48758976 is a wasteful number, since it uses less digits than its factorization.

48758976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 48758976 is about 6982.7627770103. The cubic root of 48758976 is about 365.3295978212.

The spelling of 48758976 in words is "forty-eight million, seven hundred fifty-eight thousand, nine hundred seventy-six".