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38730972 = 22372199331
BaseRepresentation
bin1001001110111…
…1110011011100
32200212201220110
42103233303130
534403342342
63502050020
7650131200
oct223576334
980781813
1038730972
111a954175
1210b79910
138041047
145202b00
153600c9c
hex24efcdc

38730972 has 72 divisors (see below), whose sum is σ = 105974400. Its totient is φ = 10977120.

The previous prime is 38730959. The next prime is 38730983. The reversal of 38730972 is 27903783.

It is a self number, because there is not a number n which added to its sum of digits gives 38730972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116847 + ... + 117177.

Almost surely, 238730972 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 38730972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52987200).

38730972 is an abundant number, since it is smaller than the sum of its proper divisors (67243428).

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

38730972 is a wasteful number, since it uses less digits than its factorization.

38730972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 38730972 is about 6223.4212455851. The cubic root of 38730972 is about 338.3395744654.

The spelling of 38730972 in words is "thirty-eight million, seven hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 199 294 331 398 588 597 662 796 993 1194 1324 1393 1986 2317 2388 2786 3972 4179 4634 5572 6951 8358 9268 9751 13902 16219 16716 19502 27804 29253 32438 39004 48657 58506 64876 65869 97314 117012 131738 194628 197607 263476 395214 461083 790428 922166 1383249 1844332 2766498 3227581 5532996 6455162 9682743 12910324 19365486 38730972