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49420900 = 2252192372
BaseRepresentation
bin1011110010000…
…1101001100100
310102222211201201
42330201221210
5100122432100
64523132244
71140033154
oct274415144
9112884651
1049420900
1125995721
1214674084
13a314949
1467c6764
15451336a
hex2f21a64

49420900 has 81 divisors (see below), whose sum is σ = 116326539. Its totient is φ = 18221760.

The previous prime is 49420897. The next prime is 49420909. The reversal of 49420900 is 902494.

The square root of 49420900 is 7030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4691556 + 44729344 = 2166^2 + 6688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49420909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1335682 + ... + 1335718.

Almost surely, 249420900 is an apocalyptic number.

49420900 is the 7030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49420900

49420900 is an abundant number, since it is smaller than the sum of its proper divisors (66905639).

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

49420900 is a wasteful number, since it uses less digits than its factorization.

49420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 49420900 is about 366.9753415413.

The spelling of 49420900 in words is "forty-nine million, four hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 148 185 190 361 370 380 475 703 722 740 925 950 1369 1406 1444 1805 1850 1900 2738 2812 3515 3610 3700 5476 6845 7030 7220 9025 13357 13690 14060 17575 18050 26011 26714 27380 34225 35150 36100 52022 53428 66785 68450 70300 104044 130055 133570 136900 260110 267140 333925 494209 520220 650275 667850 988418 1300550 1335700 1976836 2471045 2601100 4942090 9884180 12355225 24710450 49420900