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38355252 = 22313534639
BaseRepresentation
bin1001001001010…
…0000100110100
32200011122111220
42102110010310
534304332002
63450030340
7644004615
oct222240464
980148456
1038355252
111a717961
1210a183b0
137c3c020
145145c0c
1535797bc
hex2494134

38355252 has 48 divisors (see below), whose sum is σ = 98219520. Its totient is φ = 11576448.

The previous prime is 38355241. The next prime is 38355263. The reversal of 38355252 is 25255383.

It is an interprime number because it is at equal distance from previous prime (38355241) and next prime (38355263).

It is a super-2 number, since 2×383552522 = 2942250711967008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5949 + ... + 10587.

It is an arithmetic number, because the mean of its divisors is an integer number (2046240).

Almost surely, 238355252 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 38355252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49109760).

38355252 is an abundant number, since it is smaller than the sum of its proper divisors (59864268).

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

38355252 is a wasteful number, since it uses less digits than its factorization.

38355252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4710 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 38355252 is about 6193.1617127280. The cubic root of 38355252 is about 337.2419668333.

The spelling of 38355252 in words is "thirty-eight million, three hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4134 4639 8268 9278 13917 18556 27834 55668 60307 120614 180921 241228 245867 361842 491734 723684 737601 983468 1475202 2950404 3196271 6392542 9588813 12785084 19177626 38355252