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2493786432 = 26349926029
BaseRepresentation
bin1001010010100100…
…0010100101000000
320102210111110212110
42110221002211000
520101402131212
61051242255320
7115540556244
oct22451024500
96383443773
102493786432
11106a74a725
125971b7540
13309865197
141992b4424
15e8deea3c
hex94a42940

2493786432 has 56 divisors (see below), whose sum is σ = 6611620000. Its totient is φ = 829564416.

The previous prime is 2493786409. The next prime is 2493786437. The reversal of 2493786432 is 2346873942.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493786437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82794 + ... + 108822.

Almost surely, 22493786432 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 2493786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305810000).

2493786432 is an abundant number, since it is smaller than the sum of its proper divisors (4117833568).

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

2493786432 is a wasteful number, since it uses less digits than its factorization.

2493786432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26543 (or 26533 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 2493786432 is about 49937.8256635188. The cubic root of 2493786432 is about 1356.0834608961.

The spelling of 2493786432 in words is "two billion, four hundred ninety-three million, seven hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 499 998 1497 1996 2994 3992 5988 7984 11976 15968 23952 26029 31936 47904 52058 78087 95808 104116 156174 208232 312348 416464 624696 832928 1249392 1665856 2498784 4997568 12988471 25976942 38965413 51953884 77930826 103907768 155861652 207815536 311723304 415631072 623446608 831262144 1246893216 2493786432