Search a number
-
+
375142872 = 233133173793
BaseRepresentation
bin10110010111000…
…011100111011000
3222010220020021110
4112113003213120
51232014032442
6101120340320
712203442666
oct2627034730
9863806243
10375142872
11182838435
12a57746a0
135c94a440
1437b73c36
1522e0369c
hex165c39d8

375142872 has 64 divisors (see below), whose sum is σ = 1013453280. Its totient is φ = 115034112.

The previous prime is 375142871. The next prime is 375142891. The reversal of 375142872 is 278241573.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 375142872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375142871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97008 + ... + 100800.

Almost surely, 2375142872 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 375142872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506726640).

375142872 is an abundant number, since it is smaller than the sum of its proper divisors (638310408).

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

375142872 is a wasteful number, since it uses less digits than its factorization.

375142872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4128 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 375142872 is about 19368.6053189175. The cubic root of 375142872 is about 721.2163544503.

The spelling of 375142872 in words is "three hundred seventy-five million, one hundred forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 317 634 951 1268 1902 2536 3793 3804 4121 7586 7608 8242 11379 12363 15172 16484 22758 24726 30344 32968 45516 49309 49452 91032 98618 98904 147927 197236 295854 394472 591708 1183416 1202381 2404762 3607143 4809524 7214286 9619048 14428572 15630953 28857144 31261906 46892859 62523812 93785718 125047624 187571436 375142872