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52435250400 = 25352131680617
BaseRepresentation
bin110000110101011000…
…100110110011100000
312000100022011201011010
4300311120212303200
51324341411003100
640031033220520
73534252163101
oct606530466340
9160308151133
1052435250400
1120268371795
12a1b4561740
134c3844b3b0
142775d283a8
15156d580750
hexc35626ce0

52435250400 has 144 divisors (see below), whose sum is σ = 183805829424. Its totient is φ = 12907130880.

The previous prime is 52435250393. The next prime is 52435250401. The reversal of 52435250400 is 405253425.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52435250401) 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, 809109 + ... + 871508.

It is an arithmetic number, because the mean of its divisors is an integer number (1276429371).

Almost surely, 252435250400 is an apocalyptic number.

52435250400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52435250400 is an abundant number, since it is smaller than the sum of its proper divisors (131370579024).

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

52435250400 is a wasteful number, since it uses less digits than its factorization.

52435250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680653 (or 1680640 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 52435250400 in words is "fifty-two billion, four hundred thirty-five million, two hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 1680617 3361234 5041851 6722468 8403085 10083702 13444936 16806170 20167404 21848021 25209255 26889872 33612340 40334808 42015425 43696042 50418510 53779744 65544063 67224680 80669616 84030850 87392084 100837020 109240105 126046275 131088126 134449360 161339232 168061700 174784168 201674040 218480210 252092550 262176252 268898720 327720315 336123400 349568336 403348080 436960420 504185100 524352504 546200525 655440630 672246800 699136672 806696160 873920840 1008370200 1048705008 1092401050 1310881260 1344493600 1638601575 1747841680 2016740400 2097410016 2184802100 2621762520 3277203150 3495683360 4033480800 4369604200 5243525040 6554406300 8739208400 10487050080 13108812600 17478416800 26217625200 52435250400