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49274880 = 21335401
BaseRepresentation
bin1011101111111…
…0000000000000
310102201102102120
42323332000000
5100103244010
64520044240
71135554354
oct273760000
9112642376
1049274880
11258a5a46
1214603680
13a293345
146789464
1544d4e70
hex2efe000

49274880 has 112 divisors (see below), whose sum is σ = 158063184. Its totient is φ = 13107200.

The previous prime is 49274879. The next prime is 49274881. The reversal of 49274880 is 8847294.

It is an interprime number because it is at equal distance from previous prime (49274879) and next prime (49274881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49274881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122680 + ... + 123080.

Almost surely, 249274880 is an apocalyptic number.

49274880 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 49274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79031592).

49274880 is an abundant number, since it is smaller than the sum of its proper divisors (108788304).

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

49274880 is an equidigital number, since it uses as much as digits as its factorization.

49274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 49274880 is about 7019.6068265965. The cubic root of 49274880 is about 366.6135607202.

The spelling of 49274880 in words is "forty-nine million, two hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 401 480 512 640 768 802 960 1024 1203 1280 1536 1604 1920 2005 2048 2406 2560 3072 3208 3840 4010 4096 4812 5120 6015 6144 6416 7680 8020 8192 9624 10240 12030 12288 12832 15360 16040 19248 20480 24060 24576 25664 30720 32080 38496 40960 48120 51328 61440 64160 76992 96240 102656 122880 128320 153984 192480 205312 256640 307968 384960 410624 513280 615936 769920 821248 1026560 1231872 1539840 1642496 2053120 2463744 3079680 3284992 4106240 4927488 6159360 8212480 9854976 12318720 16424960 24637440 49274880