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5232480400 = 245272696947
BaseRepresentation
bin1001101111110000…
…10101000010010000
3111111122211112201101
410313320111002100
541204003333100
62223114114144
7243444230620
oct46770250220
914448745641
105232480400
112245664a74
12102041b954
13655078b64
14378cda880
1520957986a
hex137e15090

5232480400 has 120 divisors (see below), whose sum is σ = 14422380480. Its totient is φ = 1787066880.

The previous prime is 5232480389. The next prime is 5232480403. The reversal of 5232480400 is 40842325.

It is a super-2 number, since 2×52324804002 = 54757702272768320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5232480403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749727 + ... + 756673.

It is an arithmetic number, because the mean of its divisors is an integer number (120186504).

Almost surely, 25232480400 is an apocalyptic number.

5232480400 is a gapful number since it is divisible by the number (50) 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 5232480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211190240).

5232480400 is an abundant number, since it is smaller than the sum of its proper divisors (9189900080).

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

5232480400 is a wasteful number, since it uses less digits than its factorization.

5232480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 5232480400 is about 72335.8859764640. The cubic root of 5232480400 is about 1736.0778791681.

The spelling of 5232480400 in words is "five billion, two hundred thirty-two million, four hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 269 280 350 400 538 560 700 1076 1345 1400 1883 2152 2690 2800 3766 4304 5380 6725 6947 7532 9415 10760 13450 13894 15064 18830 21520 26900 27788 30128 34735 37660 47075 48629 53800 55576 69470 75320 94150 97258 107600 111152 138940 150640 173675 188300 194516 243145 277880 347350 376600 389032 486290 555760 694700 753200 778064 972580 1215725 1389400 1868743 1945160 2431450 2778800 3737486 3890320 4862900 7474972 9343715 9725800 13081201 14949944 18687430 19451600 26162402 29899888 37374860 46718575 52324804 65406005 74749720 93437150 104649608 130812010 149499440 186874300 209299216 261624020 327030025 373748600 523248040 654060050 747497200 1046496080 1308120100 2616240200 5232480400