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48400902 = 23411157173
BaseRepresentation
bin1011100010100…
…0101000000110
310101002000120000
42320220220012
544342312102
64445222130
71125254334
oct270505006
9111060500
1048400902
1125359350
1214261946
13a0485b4
1465dcb54
1543b101c
hex2e28a06

48400902 has 80 divisors (see below), whose sum is σ = 119755152. Its totient is φ = 14489280.

The previous prime is 48400897. The next prime is 48400903. The reversal of 48400902 is 20900484.

It is a Harshad number since it is a multiple of its sum of digits (27).

48400902 is a modest number, since divided by 902 gives 484 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48400903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279688 + ... + 279860.

Almost surely, 248400902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48400902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59877576).

48400902 is an abundant number, since it is smaller than the sum of its proper divisors (71354250).

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

48400902 is a wasteful number, since it uses less digits than its factorization.

48400902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48400902 is about 6957.0756787604. The cubic root of 48400902 is about 364.4331025936.

The spelling of 48400902 in words is "forty-eight million, four hundred thousand, nine hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 157 162 173 198 297 314 346 471 519 594 891 942 1038 1413 1557 1727 1782 1903 2826 3114 3454 3806 4239 4671 5181 5709 8478 9342 10362 11418 12717 14013 15543 17127 25434 27161 28026 31086 34254 46629 51381 54322 81483 93258 102762 139887 154143 162966 244449 279774 298771 308286 488898 597542 733347 896313 1466694 1792626 2200041 2688939 4400082 5377878 8066817 16133634 24200451 48400902