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48957248 = 262379421
BaseRepresentation
bin1011101011000…
…0011101000000
310102010021201102
42322300131000
5100013112443
64505153532
71133062334
oct272603500
9112107642
1048957248
11256a933a
121448b8a8
13a1b18b2
1467057c4
154470cb8
hex2eb0740

48957248 has 56 divisors (see below), whose sum is σ = 102900480. Its totient is φ = 23063040.

The previous prime is 48957211. The next prime is 48957283. The reversal of 48957248 is 84275984.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116078 + ... + 116498.

Almost surely, 248957248 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 48957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51450240).

48957248 is an abundant number, since it is smaller than the sum of its proper divisors (53943232).

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

48957248 is a wasteful number, since it uses less digits than its factorization.

48957248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 48957248 is about 6996.9456193399. The cubic root of 48957248 is about 365.8241164731.

The spelling of 48957248 in words is "forty-eight million, nine hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 158 184 316 368 421 632 736 842 1264 1472 1684 1817 2528 3368 3634 5056 6736 7268 9683 13472 14536 19366 26944 29072 33259 38732 58144 66518 77464 116288 133036 154928 266072 309856 532144 619712 764957 1064288 1529914 2128576 3059828 6119656 12239312 24478624 48957248