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38070072 = 233217191637
BaseRepresentation
bin1001000100111…
…0011100111000
32122122011022200
42101032130320
534221220242
63435550200
7641406315
oct221163470
978564280
1038070072
111a542677
12108bb360
137b6c291
1450add0c
15352004c
hex244e738

38070072 has 96 divisors (see below), whose sum is σ = 114987600. Its totient is φ = 11308032.

The previous prime is 38070061. The next prime is 38070073. The reversal of 38070072 is 27007083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38070073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22438 + ... + 24074.

Almost surely, 238070072 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 38070072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57493800).

38070072 is an abundant number, since it is smaller than the sum of its proper divisors (76917528).

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

38070072 is a wasteful number, since it uses less digits than its factorization.

38070072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 38070072 is about 6170.0949749578. The cubic root of 38070072 is about 336.4040632110.

The spelling of 38070072 in words is "thirty-eight million, seventy thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1637 1938 2584 2907 3274 3876 4911 5814 6548 7752 9822 11628 13096 14733 19644 23256 27829 29466 31103 39288 55658 58932 62206 83487 93309 111316 117864 124412 166974 186618 222632 248824 250461 279927 333948 373236 500922 528751 559854 667896 746472 1001844 1057502 1119708 1586253 2003688 2115004 2239416 3172506 4230008 4758759 6345012 9517518 12690024 19035036 38070072