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49962240 = 283254337
BaseRepresentation
bin1011111010010…
…1110100000000
310111000100022100
42332211310000
5100242242430
64542510400
71144446336
oct276456400
9114010270
1049962240
1126225409
1214895400
13a474173
1468c7b56
1545bd960
hex2fa5d00

49962240 has 108 divisors (see below), whose sum is σ = 172904004. Its totient is φ = 13320192.

The previous prime is 49962239. The next prime is 49962277. The reversal of 49962240 is 4226994.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 43243776 = 2592^2 + 6576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49962195 and 49962204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9352 + ... + 13688.

It is an arithmetic number, because the mean of its divisors is an integer number (1600963).

Almost surely, 249962240 is an apocalyptic number.

49962240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86452002).

49962240 is an abundant number, since it is smaller than the sum of its proper divisors (122941764).

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

49962240 is a wasteful number, since it uses less digits than its factorization.

49962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49962240 is about 7068.3972723666. The cubic root of 49962240 is about 368.3103871557.

The spelling of 49962240 in words is "forty-nine million, nine hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 4337 5760 8674 11520 13011 17348 21685 26022 34696 39033 43370 52044 65055 69392 78066 86740 104088 130110 138784 156132 173480 195165 208176 260220 277568 312264 346960 390330 416352 520440 555136 624528 693920 780660 832704 1040880 1110272 1249056 1387840 1561320 1665408 2081760 2498112 2775680 3122640 3330816 4163520 4996224 5551360 6245280 8327040 9992448 12490560 16654080 24981120 49962240