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2520252448 = 25717976823
BaseRepresentation
bin1001011000111000…
…0000000000100000
320111122022002102021
42112032000000200
520130141034243
61054025431224
7116311535530
oct22616000040
96448262367
102520252448
111083686a6a
125a403b514
133121a074c
1419ca034c0
15eb3cb6ed
hex96380020

2520252448 has 96 divisors (see below), whose sum is σ = 6066918144. Its totient is φ = 1005944832.

The previous prime is 2520252407. The next prime is 2520252451. The reversal of 2520252448 is 8442520252.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365965 + ... + 372787.

It is an arithmetic number, because the mean of its divisors is an integer number (63197064).

Almost surely, 22520252448 is an apocalyptic number.

2520252448 is a gapful number since it is divisible by the number (28) 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 2520252448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033459072).

2520252448 is an abundant number, since it is smaller than the sum of its proper divisors (3546665696).

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

2520252448 is a wasteful number, since it uses less digits than its factorization.

2520252448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 2520252448 is about 50202.1159713413. The cubic root of 2520252448 is about 1360.8638629286.

The spelling of 2520252448 in words is "two billion, five hundred twenty million, two hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 97 112 119 136 194 224 238 272 388 476 544 679 776 952 1358 1552 1649 1904 2716 3104 3298 3808 5432 6596 6823 10864 11543 13192 13646 21728 23086 26384 27292 46172 47761 52768 54584 92344 95522 109168 115991 184688 191044 218336 231982 369376 382088 463964 661831 764176 811937 927928 1323662 1528352 1623874 1855856 2647324 3247748 3711712 4632817 5294648 6495496 9265634 10589296 11251127 12990992 18531268 21178592 22502254 25981984 37062536 45004508 74125072 78757889 90009016 148250144 157515778 180018032 315031556 360036064 630063112 1260126224 2520252448