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48824040 = 23351792273
BaseRepresentation
bin1011101000111…
…1111011101000
310101212111222210
42322033323220
544444332130
64502245120
71131666066
oct272177350
9111774883
1048824040
1125618251
12144267a0
13a166085
1466ad036
1544465b0
hex2e8fee8

48824040 has 64 divisors (see below), whose sum is σ = 147355200. Its totient is φ = 12941312.

The previous prime is 48824033. The next prime is 48824047. The reversal of 48824040 is 4042884.

It is an interprime number because it is at equal distance from previous prime (48824033) and next prime (48824047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48823989 and 48824007.

It is not an unprimeable number, because it can be changed into a prime (48824047) 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, 20344 + ... + 22616.

It is an arithmetic number, because the mean of its divisors is an integer number (2302425).

Almost surely, 248824040 is an apocalyptic number.

48824040 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 48824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73677600).

48824040 is an abundant number, since it is smaller than the sum of its proper divisors (98531160).

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

48824040 is a wasteful number, since it uses less digits than its factorization.

48824040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 48824040 is about 6987.4201247671. The cubic root of 48824040 is about 365.4920242564.

The spelling of 48824040 in words is "forty-eight million, eight hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2273 2685 3580 4296 4546 5370 6819 7160 9092 10740 11365 13638 18184 21480 22730 27276 34095 45460 54552 68190 90920 136380 272760 406867 813734 1220601 1627468 2034335 2441202 3254936 4068670 4882404 6103005 8137340 9764808 12206010 16274680 24412020 48824040