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2552037432 = 2337149269379
BaseRepresentation
bin1001100000011101…
…0000000000111000
320120212002221012220
42120013100000320
520211310144212
61101123004040
7120145650240
oct23007200070
96525087186
102552037432
11109a61654a
125b2809620
1331894c029
141a2d18b20
15ee0a938c
hex981d0038

2552037432 has 128 divisors (see below), whose sum is σ = 7387200000. Its totient is φ = 719663616.

The previous prime is 2552037431. The next prime is 2552037461. The reversal of 2552037432 is 2347302552.

It is a junction number, because it is equal to n+sod(n) for n = 2552037393 and 2552037402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552037431) 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, 6733419 + ... + 6733797.

It is an arithmetic number, because the mean of its divisors is an integer number (57712500).

Almost surely, 22552037432 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 2552037432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693600000).

2552037432 is an abundant number, since it is smaller than the sum of its proper divisors (4835162568).

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

2552037432 is a wasteful number, since it uses less digits than its factorization.

2552037432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The square root of 2552037432 is about 50517.6942466697. The cubic root of 2552037432 is about 1366.5609718247.

Adding to 2552037432 its reverse (2347302552), we get a palindrome (4899339984).

The spelling of 2552037432 in words is "two billion, five hundred fifty-two million, thirty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 269 298 379 447 538 596 758 807 894 1043 1076 1137 1192 1516 1614 1788 1883 2086 2152 2274 2653 3032 3129 3228 3576 3766 4172 4548 5306 5649 6258 6456 7532 7959 8344 9096 10612 11298 12516 15064 15918 21224 22596 25032 31836 40081 45192 56471 63672 80162 101951 112942 120243 160324 169413 203902 225884 240486 280567 305853 320648 338826 395297 407804 451768 480972 561134 611706 677652 713657 790594 815608 841701 961944 1122268 1185891 1223412 1355304 1427314 1581188 1683402 2140971 2244536 2371782 2446824 2854628 3162376 3366804 4281942 4743564 5709256 6733608 8563884 9487128 15190699 17127768 30381398 45572097 60762796 91144194 106334893 121525592 182288388 212669786 319004679 364576776 425339572 638009358 850679144 1276018716 2552037432