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469248552 = 2336174733
BaseRepresentation
bin11011111110000…
…010101000101000
31012200222022000000
4123332002220220
51430111423202
6114321343000
714425355403
oct3376025050
91180868000
10469248552
11220973423
12111197a60
13762a9086
144646cd3a
152b2e191c
hex1bf82a28

469248552 has 112 divisors (see below), whose sum is σ = 1397050740. Its totient is φ = 147184128.

The previous prime is 469248523. The next prime is 469248557. The reversal of 469248552 is 255842964.

469248552 is a `hidden beast` number, since 4 + 6 + 92 + 4 + 8 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 468895716 + 352836 = 21654^2 + 594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 469248498 and 469248507.

It is not an unprimeable number, because it can be changed into a prime (469248557) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 96778 + ... + 101510.

Almost surely, 2469248552 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 469248552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698525370).

469248552 is an abundant number, since it is smaller than the sum of its proper divisors (927802188).

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

469248552 is a wasteful number, since it uses less digits than its factorization.

469248552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4755 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 469248552 is about 21662.1456001016. The cubic root of 469248552 is about 777.0834274845.

The spelling of 469248552 in words is "four hundred sixty-nine million, two hundred forty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2754 2916 3672 4131 4733 5508 5832 8262 9466 11016 12393 14199 16524 18932 24786 28398 33048 37864 42597 49572 56796 80461 85194 99144 113592 127791 160922 170388 241383 255582 321844 340776 383373 482766 511164 643688 724149 766746 965532 1022328 1150119 1448298 1533492 1931064 2172447 2300238 2896596 3066984 3450357 4344894 4600476 5793192 6517341 6900714 8689788 9200952 13034682 13801428 17379576 19552023 26069364 27602856 39104046 52138728 58656069 78208092 117312138 156416184 234624276 469248552