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4270467264 = 26375875413
BaseRepresentation
bin1111111010001010…
…0010100011000000
3102000121122012210020
43332202202203000
532221214423024
61543430533440
7210553241610
oct37642424300
912017565706
104270467264
1118a1627298
129b2207280
1353097c10b
142c723aa40
1519ed9d979
hexfe8a28c0

4270467264 has 112 divisors (see below), whose sum is σ = 12937467648. Its totient is φ = 1217829888.

The previous prime is 4270467193. The next prime is 4270467277. The reversal of 4270467264 is 4627640724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786222 + ... + 791634.

It is an arithmetic number, because the mean of its divisors is an integer number (115513104).

Almost surely, 24270467264 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 4270467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468733824).

4270467264 is an abundant number, since it is smaller than the sum of its proper divisors (8667000384).

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

4270467264 is a wasteful number, since it uses less digits than its factorization.

4270467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 4270467264 is about 65348.8122615859. The cubic root of 4270467264 is about 1622.4019725787.

The spelling of 4270467264 in words is "four billion, two hundred seventy million, four hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 587 672 1174 1344 1761 2348 3522 4109 4696 5413 7044 8218 9392 10826 12327 14088 16239 16436 18784 21652 24654 28176 32478 32872 37568 37891 43304 49308 56352 64956 65744 75782 86608 98616 112704 113673 129912 131488 151564 173216 197232 227346 259824 262976 303128 346432 394464 454692 519648 606256 788928 909384 1039296 1212512 1818768 2425024 3177431 3637536 6354862 7275072 9532293 12709724 19064586 22242017 25419448 38129172 44484034 50838896 66726051 76258344 88968068 101677792 133452102 152516688 177936136 203355584 266904204 305033376 355872272 533808408 610066752 711744544 1067616816 1423489088 2135233632 4270467264