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38948840 = 23571131231
BaseRepresentation
bin1001010010010…
…0111111101000
32201021210202122
42110210333220
534432330330
63510450412
7652026320
oct224447750
981253678
1038948840
111aa92927
1211063a08
1380b9268
14525c280
1536455e5
hex2524fe8

38948840 has 64 divisors (see below), whose sum is σ = 101122560. Its totient is φ = 13224960.

The previous prime is 38948831. The next prime is 38948843. The reversal of 38948840 is 4884983.

38948840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38948791 and 38948800.

It is not an unprimeable number, because it can be changed into a prime (38948843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31025 + ... + 32255.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 238948840 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 38948840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50561280).

38948840 is an abundant number, since it is smaller than the sum of its proper divisors (62173720).

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

38948840 is a wasteful number, since it uses less digits than its factorization.

38948840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 38948840 is about 6240.9005760387. The cubic root of 38948840 is about 338.9727936213.

The spelling of 38948840 in words is "thirty-eight million, nine hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1231 1582 2260 2462 3164 3955 4520 4924 6155 6328 7910 8617 9848 12310 15820 17234 24620 31640 34468 43085 49240 68936 86170 139103 172340 278206 344680 556412 695515 973721 1112824 1391030 1947442 2782060 3894884 4868605 5564120 7789768 9737210 19474420 38948840