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2455425504 = 253272774397
BaseRepresentation
bin1001001001011010…
…1101000111100000
320100010022112120100
42102112231013200
520012042104004
61043352142400
7114563525640
oct22226550740
96303275510
102455425504
111050029584
12586397a00
133019236cc
1419416a520
15e5873739
hex925ad1e0

2455425504 has 144 divisors (see below), whose sum is σ = 8010763488. Its totient is φ = 698858496.

The previous prime is 2455425491. The next prime is 2455425523. The reversal of 2455425504 is 4055245542.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×24554255042 = 12058228811387308032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 556234 + ... + 560630.

It is an arithmetic number, because the mean of its divisors is an integer number (55630302).

Almost surely, 22455425504 is an apocalyptic number.

2455425504 is a gapful number since it is divisible by the number (24) 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 2455425504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005381744).

2455425504 is an abundant number, since it is smaller than the sum of its proper divisors (5555337984).

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

2455425504 is a wasteful number, since it uses less digits than its factorization.

2455425504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The square root of 2455425504 is about 49552.2502415380. The cubic root of 2455425504 is about 1349.0941346769.

The spelling of 2455425504 in words is "two billion, four hundred fifty-five million, four hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 277 288 336 504 554 672 831 1008 1108 1662 1939 2016 2216 2493 3324 3878 4397 4432 4986 5817 6648 7756 8794 8864 9972 11634 13191 13296 15512 17451 17588 19944 23268 26382 26592 30779 31024 34902 35176 39573 39888 46536 52764 61558 62048 69804 70352 79146 79776 92337 93072 105528 123116 139608 140704 158292 184674 186144 211056 246232 277011 279216 316584 369348 422112 492464 554022 558432 633168 738696 984928 1108044 1217969 1266336 1477392 2216088 2435938 2954784 3653907 4432176 4871876 7307814 8525783 8864352 9743752 10961721 14615628 17051566 19487504 21923442 25577349 29231256 34103132 38975008 43846884 51154698 58462512 68206264 76732047 87693768 102309396 116925024 136412528 153464094 175387536 204618792 272825056 306928188 350775072 409237584 613856376 818475168 1227712752 2455425504