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49123840 = 29531619
BaseRepresentation
bin1011101101100…
…1001000000000
310102102202020111
42323121020000
5100033430330
64512521104
71134355123
oct273311000
9112382214
1049123840
1125802517
1214550194
13a23c67c
14674a3ba
1544a532a
hex2ed9200

49123840 has 80 divisors (see below), whose sum is σ = 121777920. Its totient is φ = 18984960.

The previous prime is 49123831. The next prime is 49123843. The reversal of 49123840 is 4832194.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (49123843) 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, 79051 + ... + 79669.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224).

Almost surely, 249123840 is an apocalyptic number.

49123840 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 49123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60888960).

49123840 is an abundant number, since it is smaller than the sum of its proper divisors (72654080).

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

49123840 is an equidigital number, since it uses as much as digits as its factorization.

49123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 49123840 is about 7008.8401322901. The cubic root of 49123840 is about 366.2385894941.

The spelling of 49123840 in words is "forty-nine million, one hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 619 620 640 992 1238 1240 1280 1984 2476 2480 2560 3095 3968 4952 4960 6190 7936 9904 9920 12380 15872 19189 19808 19840 24760 38378 39616 39680 49520 76756 79232 79360 95945 99040 153512 158464 191890 198080 307024 316928 383780 396160 614048 767560 792320 1228096 1535120 1584640 2456192 3070240 4912384 6140480 9824768 12280960 24561920 49123840