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48892840 = 23529113373
BaseRepresentation
bin1011101010000…
…0101110101000
310102000000100221
42322200232220
5100004032330
64503535424
71132403503
oct272405650
9112000327
1048892840
1125664a07
121445a574
13a18b499
1466ca13a
15445bb7a
hex2ea0ba8

48892840 has 64 divisors (see below), whose sum is σ = 115117200. Its totient is φ = 18665472.

The previous prime is 48892829. The next prime is 48892843. The reversal of 48892840 is 4829884.

It can be written as a sum of positive squares in 8 ways, for example, as 8213956 + 40678884 = 2866^2 + 6378^2 .

It is not an unprimeable number, because it can be changed into a prime (48892843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130894 + ... + 131266.

Almost surely, 248892840 is an apocalyptic number.

48892840 is a gapful number since it is divisible by the number (40) 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 48892840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558600).

48892840 is an abundant number, since it is smaller than the sum of its proper divisors (66224360).

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

48892840 is a wasteful number, since it uses less digits than its factorization.

48892840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 48892840 is about 6992.3415248399. The cubic root of 48892840 is about 365.6636203878.

The spelling of 48892840 in words is "forty-eight million, eight hundred ninety-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 226 232 290 373 452 565 580 746 904 1130 1160 1492 1865 2260 2984 3277 3730 4520 6554 7460 10817 13108 14920 16385 21634 26216 32770 42149 43268 54085 65540 84298 86536 108170 131080 168596 210745 216340 337192 421490 432680 842980 1222321 1685960 2444642 4889284 6111605 9778568 12223210 24446420 48892840