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426296832 = 2931337577
BaseRepresentation
bin11001011010001…
…100011000000000
31002201011010022120
4121122030120000
51333112444312
6110145004240
713364314623
oct3132143000
91081133276
10426296832
111a96a7135
12ba923680
136a41ab60
144088bdba
152765a28c
hex1968c600

426296832 has 160 divisors (see below), whose sum is σ = 1258273632. Its totient is φ = 127401984.

The previous prime is 426296831. The next prime is 426296833. The reversal of 426296832 is 238692624.

It is an interprime number because it is at equal distance from previous prime (426296831) and next prime (426296833).

Its product of digits (248832) is a multiple of the sum of its prime factors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426296831) 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, 738528 + ... + 739104.

Almost surely, 2426296832 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 426296832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629136816).

426296832 is an abundant number, since it is smaller than the sum of its proper divisors (831976800).

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

426296832 is a wasteful number, since it uses less digits than its factorization.

426296832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 632 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 426296832 is about 20646.9569670690. The cubic root of 426296832 is about 752.6112428852.

The spelling of 426296832 in words is "four hundred twenty-six million, two hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 512 577 592 624 768 832 888 962 1154 1184 1248 1443 1536 1664 1731 1776 1924 2308 2368 2496 2886 3328 3462 3552 3848 4616 4736 4992 5772 6656 6924 7104 7501 7696 9232 9472 9984 11544 13848 14208 15002 15392 18464 18944 19968 21349 22503 23088 27696 28416 30004 30784 36928 42698 45006 46176 55392 56832 60008 61568 64047 73856 85396 90012 92352 110784 120016 123136 128094 147712 170792 180024 184704 221568 240032 246272 256188 277537 295424 341584 360048 369408 443136 480064 512376 555074 683168 720096 738816 832611 886272 960128 1024752 1110148 1366336 1440192 1665222 1920256 2049504 2220296 2732672 2880384 3330444 3840512 4099008 4440592 5465344 5760768 6660888 8198016 8881184 10930688 11521536 13321776 16396032 17762368 26643552 32792064 35524736 53287104 71049472 106574208 142098944 213148416 426296832