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38029152 = 253756591
BaseRepresentation
bin1001000100010…
…0011101100000
32122120002012010
42101010131200
534213413102
63435032520
7641146110
oct221043540
978502163
1038029152
111a514957
121089b740
137b56775
14509d040
153512d6c
hex2444760

38029152 has 48 divisors (see below), whose sum is σ = 114089472. Its totient is φ = 10865280.

The previous prime is 38029151. The next prime is 38029183. The reversal of 38029152 is 25192083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38029151) 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, 27624 + ... + 28967.

It is an arithmetic number, because the mean of its divisors is an integer number (2376864).

Almost surely, 238029152 is an apocalyptic number.

38029152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38029152 is an abundant number, since it is smaller than the sum of its proper divisors (76060320).

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

38029152 is a wasteful number, since it uses less digits than its factorization.

38029152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56611 (or 56603 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 38029152 is about 6166.7780890835. The cubic root of 38029152 is about 336.2834909037.

The spelling of 38029152 in words is "thirty-eight million, twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 56591 113182 169773 226364 339546 396137 452728 679092 792274 905456 1188411 1358184 1584548 1810912 2376822 2716368 3169096 4753644 5432736 6338192 9507288 12676384 19014576 38029152