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2428506520 = 2351123317741
BaseRepresentation
bin1001000011000000…
…0001000110011000
320021020122220122221
42100300001012120
514433144202040
61040551153424
7114115651636
oct22060010630
96236586587
102428506520
111036912990
12579375874
132c9189c0b
14190760356
15e330774a
hex90c01198

2428506520 has 128 divisors (see below), whose sum is σ = 6421524480. Its totient is φ = 817344000.

The previous prime is 2428506469. The next prime is 2428506523. The reversal of 2428506520 is 256058242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428506523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309850 + ... + 317590.

It is an arithmetic number, because the mean of its divisors is an integer number (50168160).

Almost surely, 22428506520 is an apocalyptic number.

2428506520 is a gapful number since it is divisible by the number (20) 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 2428506520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210762240).

2428506520 is an abundant number, since it is smaller than the sum of its proper divisors (3993017960).

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

2428506520 is a wasteful number, since it uses less digits than its factorization.

2428506520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 2428506520 is about 49279.8794641383. The cubic root of 2428506520 is about 1344.1459400173.

The spelling of 2428506520 in words is "two billion, four hundred twenty-eight million, five hundred six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 31 40 44 46 55 62 88 92 110 115 124 155 184 220 230 248 253 310 341 440 460 506 620 682 713 920 1012 1240 1265 1364 1426 1705 2024 2530 2728 2852 3410 3565 5060 5704 6820 7130 7741 7843 10120 13640 14260 15482 15686 28520 30964 31372 38705 39215 61928 62744 77410 78430 85151 154820 156860 170302 178043 239971 309640 313720 340604 356086 425755 479942 681208 712172 851510 890215 959884 1199855 1424344 1703020 1780430 1919768 1958473 2399710 2639681 3406040 3560860 3916946 4799420 5279362 5519333 7121720 7833892 9598840 9792365 10558724 11038666 13198405 15667784 19584730 21117448 22077332 26396810 27596665 39169460 44154664 52793620 55193330 60712663 78338920 105587240 110386660 121425326 220773320 242850652 303563315 485701304 607126630 1214253260 2428506520