Search a number
-
+
373729056 = 2533124051
BaseRepresentation
bin10110010001101…
…010011100100000
3222001020101212220
4112101222130200
51231133312211
6101030151040
712155434041
oct2621523440
9861211786
10373729056
11181a62198
12a51b2480
135c573a6c
14378c68c8
1522c24806
hex1646a720

373729056 has 72 divisors (see below), whose sum is σ = 1013956272. Its totient is φ = 120528000.

The previous prime is 373729043. The next prime is 373729073. The reversal of 373729056 is 650927373.

It is a happy number.

It is a super-2 number, since 2×3737290562 = 279346814597302272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 373728999 and 373729017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90231 + ... + 94281.

It is an arithmetic number, because the mean of its divisors is an integer number (14082726).

Almost surely, 2373729056 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 373729056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506978136).

373729056 is an abundant number, since it is smaller than the sum of its proper divisors (640227216).

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

373729056 is a wasteful number, since it uses less digits than its factorization.

373729056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The square root of 373729056 is about 19332.0732462920. The cubic root of 373729056 is about 720.3091881946.

The spelling of 373729056 in words is "three hundred seventy-three million, seven hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 961 992 1488 1922 2883 2976 3844 4051 5766 7688 8102 11532 12153 15376 16204 23064 24306 30752 32408 46128 48612 64816 92256 97224 125581 129632 194448 251162 376743 388896 502324 753486 1004648 1506972 2009296 3013944 3893011 4018592 6027888 7786022 11679033 12055776 15572044 23358066 31144088 46716132 62288176 93432264 124576352 186864528 373729056