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38214920 = 2352773449
BaseRepresentation
bin1001000111000…
…1110100001000
32122220112000102
42101301310020
534240334140
63443024532
7642551522
oct221616410
978815012
1038214920
111a631487
121096b148
137bc01a3
14510aa12
15354ce15
hex2471d08

38214920 has 32 divisors (see below), whose sum is σ = 86319000. Its totient is φ = 15226368.

The previous prime is 38214919. The next prime is 38214923. The reversal of 38214920 is 2941283.

It can be written as a sum of positive squares in 4 ways, for example, as 11195716 + 27019204 = 3346^2 + 5198^2 .

It is a super-2 number, since 2×382149202 = 2920760221212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38214923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9356 + ... + 12804.

Almost surely, 238214920 is an apocalyptic number.

It is an amenable number.

38214920 is an abundant number, since it is smaller than the sum of its proper divisors (48104080).

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

38214920 is a wasteful number, since it uses less digits than its factorization.

38214920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 38214920 is about 6181.8217379669. The cubic root of 38214920 is about 336.8301703385.

The spelling of 38214920 in words is "thirty-eight million, two hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 277 554 1108 1385 2216 2770 3449 5540 6898 11080 13796 17245 27592 34490 68980 137960 955373 1910746 3821492 4776865 7642984 9553730 19107460 38214920