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38848656 = 24371123457
BaseRepresentation
bin1001010000110…
…0100010010000
32201002201100010
42110030202100
534421124111
63504354520
7651131250
oct224144220
981081303
1038848656
111aa24630
1211015a40
138082792
145233960
153625aa6
hex250c890

38848656 has 160 divisors (see below), whose sum is σ = 130848768. Its totient is φ = 9630720.

The previous prime is 38848627. The next prime is 38848657. The reversal of 38848656 is 65684883.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38848657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84780 + ... + 85236.

Almost surely, 238848656 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 38848656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65424384).

38848656 is an abundant number, since it is smaller than the sum of its proper divisors (92000112).

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

38848656 is a wasteful number, since it uses less digits than its factorization.

38848656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 38848656 is about 6232.8690023135. The cubic root of 38848656 is about 338.6819094000.

The spelling of 38848656 in words is "thirty-eight million, eight hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 84 88 92 112 132 138 154 161 168 176 184 231 253 264 276 308 322 336 368 457 462 483 506 528 552 616 644 759 914 924 966 1012 1104 1232 1288 1371 1518 1771 1828 1848 1932 2024 2576 2742 3036 3199 3542 3656 3696 3864 4048 5027 5313 5484 6072 6398 7084 7312 7728 9597 10054 10511 10626 10968 12144 12796 14168 15081 19194 20108 21022 21252 21936 25592 28336 30162 31533 35189 38388 40216 42044 42504 51184 60324 63066 70378 73577 76776 80432 84088 85008 105567 115621 120648 126132 140756 147154 153552 168176 211134 220731 231242 241296 252264 281512 294308 346863 422268 441462 462484 504528 563024 588616 693726 809347 844536 882924 924968 1177232 1387452 1618694 1689072 1765848 1849936 2428041 2774904 3237388 3531696 4856082 5549808 6474776 9712164 12949552 19424328 38848656