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472778304 = 26337611091
BaseRepresentation
bin11100001011100…
…000011001000000
31012221121121220120
4130023200121000
51432012401204
6114525140240
714500356255
oct3413403100
91187547816
10472778304
11222964379
121123ba680
1376c4389b
1446b0b42c
152b78c6d9
hex1c2e0640

472778304 has 112 divisors (see below), whose sum is σ = 1306958016. Its totient is φ = 150681600.

The previous prime is 472778287. The next prime is 472778309. The reversal of 472778304 is 403877274.

It is not an unprimeable number, because it can be changed into a prime (472778309) 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, 432799 + ... + 433889.

It is an arithmetic number, because the mean of its divisors is an integer number (11669268).

Almost surely, 2472778304 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 472778304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653479008).

472778304 is an abundant number, since it is smaller than the sum of its proper divisors (834179712).

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

472778304 is a wasteful number, since it uses less digits than its factorization.

472778304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The square root of 472778304 is about 21743.4657771019. The cubic root of 472778304 is about 779.0270050396.

The spelling of 472778304 in words is "four hundred seventy-two million, seven hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 64 74 96 111 122 148 183 192 222 244 296 366 444 488 592 732 888 976 1091 1184 1464 1776 1952 2182 2257 2368 2928 3273 3552 3904 4364 4514 5856 6546 6771 7104 8728 9028 11712 13092 13542 17456 18056 26184 27084 34912 36112 40367 52368 54168 66551 69824 72224 80734 104736 108336 121101 133102 144448 161468 199653 209472 216672 242202 266204 322936 399306 433344 484404 532408 645872 798612 968808 1064816 1291744 1597224 1937616 2129632 2462387 2583488 3194448 3875232 4259264 4924774 6388896 7387161 7750464 9849548 12777792 14774322 19699096 29548644 39398192 59097288 78796384 118194576 157592768 236389152 472778304