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49523616 = 253331432
BaseRepresentation
bin1011110011101…
…0101110100000
310110012001122000
42330322232200
5100134223431
64525244000
71140641502
oct274725640
9113161560
1049523616
1125a5590a
1214703600
13a34c61c
146811d72
1545339e6
hex2f3aba0

49523616 has 144 divisors (see below), whose sum is σ = 152651520. Its totient is φ = 15603840.

The previous prime is 49523587. The next prime is 49523627. The reversal of 49523616 is 61632594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151691 + ... + 1151733.

It is an arithmetic number, because the mean of its divisors is an integer number (1060080).

Almost surely, 249523616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49523616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76325760).

49523616 is an abundant number, since it is smaller than the sum of its proper divisors (103127904).

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

49523616 is a wasteful number, since it uses less digits than its factorization.

49523616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 79 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 49523616 is about 7037.3017556447. The cubic root of 49523616 is about 367.2294051380.

The spelling of 49523616 in words is "forty-nine million, five hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 43 48 54 62 72 86 93 96 108 124 129 144 172 186 216 248 258 279 288 344 372 387 432 496 516 558 688 744 774 837 864 992 1032 1116 1161 1333 1376 1488 1548 1674 1849 2064 2232 2322 2666 2976 3096 3348 3698 3999 4128 4464 4644 5332 5547 6192 6696 7396 7998 8928 9288 10664 11094 11997 12384 13392 14792 15996 16641 18576 21328 22188 23994 26784 29584 31992 33282 35991 37152 42656 44376 47988 49923 57319 59168 63984 66564 71982 88752 95976 99846 114638 127968 133128 143964 171957 177504 191952 199692 229276 266256 287928 343914 383904 399384 458552 515871 532512 575856 687828 798768 917104 1031742 1151712 1375656 1547613 1597536 1834208 2063484 2751312 3095226 4126968 5502624 6190452 8253936 12380904 16507872 24761808 49523616