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3950903632 = 2413217611409
BaseRepresentation
bin1110101101111110…
…0000000101010000
3101012100022200220011
43223133200011100
531042412404012
61452013324304
7166623061324
oct35337400520
911170280804
103950903632
111748200415
12923196694
134ac6c1700
14296a13984
15181cc81a7
hexeb7e0150

3950903632 has 120 divisors (see below), whose sum is σ = 8926805880. Its totient is φ = 1686896640.

The previous prime is 3950903617. The next prime is 3950903659. The reversal of 3950903632 is 2363090593.

It can be written as a sum of positive squares in 12 ways, for example, as 3612490816 + 338412816 = 60104^2 + 18396^2 .

It is a congruent number.

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, 2803344 + ... + 2804752.

It is an arithmetic number, because the mean of its divisors is an integer number (74390049).

Almost surely, 23950903632 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 3950903632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463402940).

3950903632 is an abundant number, since it is smaller than the sum of its proper divisors (4975902248).

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

3950903632 is a wasteful number, since it uses less digits than its factorization.

3950903632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 40.

The square root of 3950903632 is about 62856.2139489804. The cubic root of 3950903632 is about 1580.8796618442.

The spelling of 3950903632 in words is "three billion, nine hundred fifty million, nine hundred three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 61 68 104 122 136 169 208 221 244 272 338 442 488 676 793 884 976 1037 1352 1409 1586 1768 2074 2704 2818 2873 3172 3536 4148 5636 5746 6344 8296 10309 11272 11492 12688 13481 16592 18317 20618 22544 22984 23953 26962 36634 41236 45968 47906 53924 73268 82472 85949 95812 107848 146536 164944 171898 175253 191624 215696 238121 293072 311389 343796 350506 383248 476242 622778 687592 701012 952484 1117337 1245556 1375184 1402024 1461133 1904968 2234674 2491112 2804048 2922266 3809936 4048057 4469348 4982224 5844532 8096114 8938696 11689064 14525381 16192228 17877392 18994729 23378128 29050762 32384456 37989458 58101524 64768912 75978916 116203048 151957832 232406096 246931477 303915664 493862954 987725908 1975451816 3950903632