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49797408 = 2532931577
BaseRepresentation
bin1011110111110…
…1100100100000
310110200222012110
42331331210200
5100222004113
64535155320
71143161643
oct275754440
9113628173
1049797408
1126122591
1214815b40
13a41712b
146883a5a
154589bc3
hex2f7d920

49797408 has 96 divisors (see below), whose sum is σ = 139829760. Its totient is φ = 15482880.

The previous prime is 49797389. The next prime is 49797409. The reversal of 49797408 is 80479794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49797409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86016 + ... + 86592.

It is an arithmetic number, because the mean of its divisors is an integer number (1456560).

Almost surely, 249797408 is an apocalyptic number.

49797408 is a gapful number since it is divisible by the number (48) 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 49797408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914880).

49797408 is an abundant number, since it is smaller than the sum of its proper divisors (90032352).

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

49797408 is a wasteful number, since it uses less digits than its factorization.

49797408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 49797408 is about 7056.7278536160. The cubic root of 49797408 is about 367.9049061160.

It can be divided in two parts, 49797 and 408, that added together give a palindrome (50205).

The spelling of 49797408 in words is "forty-nine million, seven hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 348 372 464 496 577 696 744 899 928 992 1154 1392 1488 1731 1798 2308 2697 2784 2976 3462 3596 4616 5394 6924 7192 9232 10788 13848 14384 16733 17887 18464 21576 27696 28768 33466 35774 43152 50199 53661 55392 66932 71548 86304 100398 107322 133864 143096 200796 214644 267728 286192 401592 429288 518723 535456 572384 803184 858576 1037446 1556169 1606368 1717152 2074892 3112338 4149784 6224676 8299568 12449352 16599136 24898704 49797408