Search a number
-
+
425679072 = 25372136961
BaseRepresentation
bin11001010111110…
…101100011100000
31002122222201220120
4121113311203200
51332433212242
6110123440240
713356132600
oct3127654340
91078881816
10425679072
111a9314a95
12ba686080
136a262910
144076ac00
15275871ec
hex195f58e0

425679072 has 144 divisors (see below), whose sum is σ = 1400030352. Its totient is φ = 112250880.

The previous prime is 425679053. The next prime is 425679083. The reversal of 425679072 is 270976524.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57672 + ... + 64632.

It is an arithmetic number, because the mean of its divisors is an integer number (9722433).

Almost surely, 2425679072 is an apocalyptic number.

425679072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425679072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700015176).

425679072 is an abundant number, since it is smaller than the sum of its proper divisors (974351280).

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

425679072 is a wasteful number, since it uses less digits than its factorization.

425679072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 425679072 is about 20631.9914695601. The cubic root of 425679072 is about 752.2475230149.

The spelling of 425679072 in words is "four hundred twenty-five million, six hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 6961 7644 8736 10192 13922 15288 20384 20883 27844 30576 41766 48727 55688 61152 83532 90493 97454 111376 146181 167064 180986 194908 222752 271479 292362 334128 341089 361972 389816 542958 584724 633451 668256 682178 723944 779632 1023267 1085916 1169448 1266902 1364356 1447888 1559264 1900353 2046534 2171832 2338896 2533804 2728712 2895776 3800706 4093068 4343664 4434157 4677792 5067608 5457424 7601412 8186136 8687328 8868314 10135216 10914848 13302471 15202824 16372272 17736628 20270432 26604942 30405648 32744544 35473256 53209884 60811296 70946512 106419768 141893024 212839536 425679072